Greatest Common Factor of 7970 and 7978

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, 7978 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7970 and 7978 is 2.

GCF(7970,7978) = 2

GCF of 7970 and 7978

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

GCF of:
and

Greatest Common Factor of 7970 and 7978

GCF of 7970 and 7978 is 2

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 7978


2 7978
3989 3989
1

Prime factors of 7978 are 2,3989. Prime factorization of 7978 in exponential form is:

7978 = 21×39891

∴ So by taking common prime factors GCF of 7970 and 7978 is 2

Greatest Common Factor of 7970 and 7978 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 7978

List of positive integer factors of 7978 that divides 7978 without a remainder.

1,2,3989,7978

Greatest Common Factor

We found the factors and prime factorization of 7970 and 7978. The biggest common factor number is the GCF number.
So the greatest common factor 7970 and 7978 is 2.

Also check out the Least Common Multiple of 7970 and 7978

Properties of GCF 7970 and 7978

(i) The GCF of 7970 and 7978 is associative

GCF of 7970 and 7978 = GCF of 7978 and 7970

Related Greatest Common Factor of 7970

Related Greatest Common Factor of 7978

Frequently Asked Questions on GCF of 7970 and 7978

1. What is the GCF of 7970 and 7978?

Answer: GCF of 7970 and 7978 is 2.

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 7978?

Answer: Factors of 7978 are 1, 2, 3989, 7978. There are 4 integers that are factors of 7978. The greatest factor of 7978 is 7978.

4. How to Find the GCF of 7970 and 7978?

Answer:

Greatest Common Factor of 7970 and 7978 = 2

Step 1: Find the prime factorization of 7970

7970 = 2 x 5 x 797

Step 2: Find the prime factorization of 7978

7978 = 2 x 3989

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

GCF = 2

Step 4: Therefore, the greatest common factor of 7970 and 7978 is 2