Greatest Common Factor of 7970 and 7975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 7970, 7975 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7970 and 7975 is 5.

GCF(7970,7975) = 5

GCF of 7970 and 7975

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 7970 and 7975

GCF of 7970 and 7975 is 5

Prime Factorization of 7970


2 7970
5 3985
797 797
1

Prime factors of 7970 are 2,5,797. Prime factorization of 7970 in exponential form is:

7970 = 21×51×7971

Prime Factorization of 7975


5 7975
5 1595
11 319
29 29
1

Prime factors of 7975 are 5,11,29. Prime factorization of 7975 in exponential form is:

7975 = 52×111×291

∴ So by taking common prime factors GCF of 7970 and 7975 is 5

Greatest Common Factor of 7970 and 7975 by matching factors method

Factors of 7970

List of positive integer factors of 7970 that divides 7970 without a remainder.

1,2,5,10,797,1594,3985,7970

Factors of 7975

List of positive integer factors of 7975 that divides 7975 without a remainder.

1,5,11,25,29,55,145,275,319,725,1595,7975

Greatest Common Factor

We found the factors and prime factorization of 7970 and 7975. The biggest common factor number is the GCF number.
So the greatest common factor 7970 and 7975 is 5.

Also check out the Least Common Multiple of 7970 and 7975

Properties of GCF 7970 and 7975

(i) The GCF of 7970 and 7975 is associative

GCF of 7970 and 7975 = GCF of 7975 and 7970

Related Greatest Common Factor of 7970

Related Greatest Common Factor of 7975

Frequently Asked Questions on GCF of 7970 and 7975

1. What is the GCF of 7970 and 7975?

Answer: GCF of 7970 and 7975 is 5.

2. What are the Factors of 7970?

Answer: Factors of 7970 are 1, 2, 5, 10, 797, 1594, 3985, 7970. There are 8 integers that are factors of 7970. The greatest factor of 7970 is 7970.

3. What are the Factors of 7975?

Answer: Factors of 7975 are 1, 5, 11, 25, 29, 55, 145, 275, 319, 725, 1595, 7975. There are 12 integers that are factors of 7975. The greatest factor of 7975 is 7975.

4. How to Find the GCF of 7970 and 7975?

Answer:

Greatest Common Factor of 7970 and 7975 = 5

Step 1: Find the prime factorization of 7970

7970 = 2 x 5 x 797

Step 2: Find the prime factorization of 7975

7975 = 5 x 5 x 11 x 29

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 7970 and 7975 is 5