What are the Factors of 975?

Factors of 975 are . There are integers that are factors of 975. The greatest factor of 975 is 975.

What are the Factors of 982?

Factors of 982 are . There are integers that are factors of 982. The greatest factor of 982 is 982.

How to Find the GCF of 975 and 982?

Greatest Common Factor of 975 and 982 = 1 Step 1: Find the prime factorization of 975 975 = [1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975] Step 2: Find the prime factorization of 982 982 = [1, 2, 491, 982] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[] = 1 Step 4: Therefore, the greatest common factor of 975 and 982 is 1.

What are the Factors of 975?

Factors of 975 are . There are integers that are factors of 975. The greatest factor of 975 is 975.

What are the Factors of 982?

Factors of 982 are . There are integers that are factors of 982. The greatest factor of 982 is 982.

How to Find the GCF of 975 and 982?

Greatest Common Factor of 975 and 982 = 1 Step 1: Find the prime factorization of 975 975 = [1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975] Step 2: Find the prime factorization of 982 982 = [1, 2, 491, 982] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[] = 1 Step 4: Therefore, the greatest common factor of 975 and 982 is 1.

GCF of 975 and 982

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

Want to know what the GCF of 975 and 982 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 975 and 982. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 975, 982 using Factoring

In this method, we have to list the factors of 975 and 982 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 975 are 1 , 3 , 5 , 13 , 15 , 25 , 39 , 65 , 75 , 195 , 325 , and 975

The factors of 982 are 1 , 2 , 491 , and 982

As you can see from the aforementioned lists, the largest number that is present in both lists is 1. Therefore, we can determine that the GCF of 975 and 982 is 1.

Greatest Common Factor of 975, 982 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 975 and 982 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.

975, 982

From the picture, we can see that 975 and 982 cannot be divided by the same number again. So, all we have to do is now multiply the prime numbers on the left.

= 1

Hence, the GCF of 975 and 982 is 1.

Find the GCF of 975 and 982

Given numbers are 975 and 982

To find the greatest common factor of 975 and 982

The GCF of 975 and 982 is 1.

FAQs on GCF of 975 and 982

1. What are the LCM and GCF of 975 and 982?

The LCM and GCF of 975 and 982 are 957450 and 1.

2. How to get the GCF of 975 and 982?

The GCF of 975 and 982 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 975, 982?

The 2 different methods to find the greatest common factor of 975 and 982 are prime factorization and factors of both numbers.