What are the Factors of 970?

Factors of 970 are . There are integers that are factors of 970. The greatest factor of 970 is 970.

What are the Factors of 974?

Factors of 974 are . There are integers that are factors of 974. The greatest factor of 974 is 974.

How to Find the GCF of 970 and 974?

Greatest Common Factor of 970 and 974 = 2 Step 1: Find the prime factorization of 970 970 = [1, 2, 5, 10, 97, 194, 485, 970] Step 2: Find the prime factorization of 974 974 = [1, 2, 487, 974] 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 970 and 974 is 2.

What are the Factors of 970?

Factors of 970 are . There are integers that are factors of 970. The greatest factor of 970 is 970.

What are the Factors of 974?

Factors of 974 are . There are integers that are factors of 974. The greatest factor of 974 is 974.

How to Find the GCF of 970 and 974?

Greatest Common Factor of 970 and 974 = 2 Step 1: Find the prime factorization of 970 970 = [1, 2, 5, 10, 97, 194, 485, 970] Step 2: Find the prime factorization of 974 974 = [1, 2, 487, 974] 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 970 and 974 is 2.

GCF of 970 and 974

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

Want to know what the GCF of 970 and 974 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 970 and 974. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 970, 974 using Factoring

In this method, we have to list the factors of 970 and 974 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 970 are 1 , 2 , 5 , 10 , 97 , 194 , 485 , and 970

The factors of 974 are 1 , 2 , 487 , and 974

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 970 and 974 is 2.

Greatest Common Factor of 970, 974 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 970 and 974 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	970, 974
	485, 487

From the picture, we can see that 485 and 487 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 970 and 974 is 2.

Find the GCF of 970 and 974

Given numbers are 970 and 974

To find the greatest common factor of 970 and 974

The GCF of 970 and 974 is 2.

FAQs on GCF of 970 and 974

1. What are the LCM and GCF of 970 and 974?

The LCM and GCF of 970 and 974 are 472390 and 2.

2. How to get the GCF of 970 and 974?

The GCF of 970 and 974 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 970, 974?

The 2 different methods to find the greatest common factor of 970 and 974 are prime factorization and factors of both numbers.