What are the Factors of 274?

Factors of 274 are . There are integers that are factors of 274. The greatest factor of 274 is 274.

What are the Factors of 280?

Factors of 280 are . There are integers that are factors of 280. The greatest factor of 280 is 280.

How to Find the GCF of 274 and 280?

Greatest Common Factor of 274 and 280 = 2 Step 1: Find the prime factorization of 274 274 = [1, 2, 137, 274] Step 2: Find the prime factorization of 280 280 = [1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[2] = 2 Step 4: Therefore, the greatest common factor of 274 and 280 is 2.

What are the Factors of 274?

Factors of 274 are . There are integers that are factors of 274. The greatest factor of 274 is 274.

What are the Factors of 280?

Factors of 280 are . There are integers that are factors of 280. The greatest factor of 280 is 280.

How to Find the GCF of 274 and 280?

Greatest Common Factor of 274 and 280 = 2 Step 1: Find the prime factorization of 274 274 = [1, 2, 137, 274] Step 2: Find the prime factorization of 280 280 = [1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[2] = 2 Step 4: Therefore, the greatest common factor of 274 and 280 is 2.

GCF of 274 and 280

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

Want to know what the GCF of 274 and 280 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 274 and 280. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 274, 280 using Factoring

In this method, we have to list the factors of 274 and 280 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 274 are 1 , 2 , 137 , and 274

The factors of 280 are 1 , 2 , 4 , 5 , 7 , 8 , 10 , 14 , 20 , 28 , 35 , 40 , 56 , 70 , 140 , and 280

As you can see from the aforementioned lists, the largest number that is present in both lists is 2. Therefore, we can determine that the GCF of 274 and 280 is 2.

Greatest Common Factor of 274, 280 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 274 and 280 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.

2	274, 280
	137, 140

From the picture, we can see that 137 and 140 cannot be divided by the same number again. So, all we have to do is now multiply the prime numbers on the left.

2 = 2

Hence, the GCF of 274 and 280 is 2.

Find the GCF of 274 and 280

Given numbers are 274 and 280

To find the greatest common factor of 274 and 280

The GCF of 274 and 280 is 2.

FAQs on GCF of 274 and 280

1. What are the LCM and GCF of 274 and 280?

The LCM and GCF of 274 and 280 are 38360 and 2.

2. How to get the GCF of 274 and 280?

The GCF of 274 and 280 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 274, 280?

The 2 different methods to find the greatest common factor of 274 and 280 are prime factorization and factors of both numbers.