What are the Factors of 1050?

Factors of 1050 are . There are integers that are factors of 1050. The greatest factor of 1050 is 1050.

What are the Factors of 1053?

Factors of 1053 are . There are integers that are factors of 1053. The greatest factor of 1053 is 1053.

How to Find the GCF of 1050 and 1053?

Greatest Common Factor of 1050 and 1053 = 3 Step 1: Find the prime factorization of 1050 1050 = [1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525, 1050] Step 2: Find the prime factorization of 1053 1053 = [1, 3, 9, 13, 27, 39, 81, 117, 351, 1053] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[3] = 3 Step 4: Therefore, the greatest common factor of 1050 and 1053 is 3.

What are the Factors of 1050?

Factors of 1050 are . There are integers that are factors of 1050. The greatest factor of 1050 is 1050.

What are the Factors of 1053?

Factors of 1053 are . There are integers that are factors of 1053. The greatest factor of 1053 is 1053.

How to Find the GCF of 1050 and 1053?

Greatest Common Factor of 1050 and 1053 = 3 Step 1: Find the prime factorization of 1050 1050 = [1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525, 1050] Step 2: Find the prime factorization of 1053 1053 = [1, 3, 9, 13, 27, 39, 81, 117, 351, 1053] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[3] = 3 Step 4: Therefore, the greatest common factor of 1050 and 1053 is 3.

GCF of 1050 and 1053

Created By : Prasanna
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Want to know what the GCF of 1050 and 1053 is? We will not only show you the answer but will also teach you two different methods through which you can easily find the greatest common factor of 1050 and 1053. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 1050, 1053 using Factoring

In this method, we have to list the factors of 1050 and 1053 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 1050 are 1 , 2 , 3 , 5 , 6 , 7 , 10 , 14 , 15 , 21 , 25 , 30 , 35 , 42 , 50 , 70 , 75 , 105 , 150 , 175 , 210 , 350 , 525 , and 1050

The factors of 1053 are 1 , 3 , 9 , 13 , 27 , 39 , 81 , 117 , 351 , and 1053

As you can see from the aforementioned lists, the largest number that is present in both lists is 3. Therefore, we can determine that the GCF of 1050 and 1053 is 3.

Greatest Common Factor of 1050, 1053 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 1050 and 1053 with the same prime number and keep going until the numbers can no longer be divided by the same prime number. At that point, you must stop the process and multiply the prime numbers on the left side. The result will be the greatest common factor.

3	1050, 1053
	350, 351

From the picture, we can see that 350 and 351 cannot be divided by the same number again. So, all we have to do is now multiply the prime numbers on the left.

3 = 3

Hence, the GCF of 1050 and 1053 is 3.

Find the GCF of 1050 and 1053

Given numbers are 1050 and 1053

To find the greatest common factor of 1050 and 1053

The GCF of 1050 and 1053 is 3.

FAQs on GCF of 1050 and 1053

1. What are the LCM and GCF of 1050 and 1053?

The LCM and GCF of 1050 and 1053 are 368550 and 3.

2. How to get the GCF of 1050 and 1053?

The GCF of 1050 and 1053 can be calculated by finding the factors of both numbers and identifying the highest common factor in both.

3. What are the Methods to Find GCF of 1050, 1053?

The 2 different methods to find the greatest common factor of 1050 and 1053 are prime factorization and factors of both numbers.