What are the Factors of 99?

Factors of 99 are . There are integers that are factors of 99. The greatest factor of 99 is 99.

What are the Factors of 105?

Factors of 105 are . There are integers that are factors of 105. The greatest factor of 105 is 105.

How to Find the GCF of 99 and 105?

Greatest Common Factor of 99 and 105 = 3 Step 1: Find the prime factorization of 99 99 = [1, 3, 9, 11, 33, 99] Step 2: Find the prime factorization of 105 105 = [1, 3, 5, 7, 15, 21, 35, 105] 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 99 and 105 is 3.

What are the Factors of 99?

Factors of 99 are . There are integers that are factors of 99. The greatest factor of 99 is 99.

What are the Factors of 105?

Factors of 105 are . There are integers that are factors of 105. The greatest factor of 105 is 105.

How to Find the GCF of 99 and 105?

Greatest Common Factor of 99 and 105 = 3 Step 1: Find the prime factorization of 99 99 = [1, 3, 9, 11, 33, 99] Step 2: Find the prime factorization of 105 105 = [1, 3, 5, 7, 15, 21, 35, 105] 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 99 and 105 is 3.

GCF of 99 and 105

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

Want to know what the GCF of 99 and 105 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 99 and 105. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 99, 105 using Factoring

In this method, we have to list the factors of 99 and 105 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 99 are 1 , 3 , 9 , 11 , 33 , and 99

The factors of 105 are 1 , 3 , 5 , 7 , 15 , 21 , 35 , and 105

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 99 and 105 is 3.

Greatest Common Factor of 99, 105 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 99 and 105 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	99, 105
	33, 35

From the picture, we can see that 33 and 35 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 99 and 105 is 3.

Find the GCF of 99 and 105

Given numbers are 99 and 105

To find the greatest common factor of 99 and 105

The GCF of 99 and 105 is 3.

FAQs on GCF of 99 and 105

1. What are the LCM and GCF of 99 and 105?

The LCM and GCF of 99 and 105 are 3465 and 3.

2. How to get the GCF of 99 and 105?

The GCF of 99 and 105 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 99, 105?

The 2 different methods to find the greatest common factor of 99 and 105 are prime factorization and factors of both numbers.