Greatest Common Factor of 7974 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 7974, 7978 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7974 and 7978 is 2.

GCF(7974,7978) = 2

GCF of 7974 and 7978

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

GCF of:
and

Greatest Common Factor of 7974 and 7978

GCF of 7974 and 7978 is 2

Prime Factorization of 7974


2 7974
3 3987
3 1329
443 443
1

Prime factors of 7974 are 2,3,443. Prime factorization of 7974 in exponential form is:

7974 = 21×32×4431

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 7974 and 7978 is 2

Greatest Common Factor of 7974 and 7978 by matching factors method

Factors of 7974

List of positive integer factors of 7974 that divides 7974 without a remainder.

1,2,3,6,9,18,443,886,1329,2658,3987,7974

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 7974 and 7978. The biggest common factor number is the GCF number.
So the greatest common factor 7974 and 7978 is 2.

Also check out the Least Common Multiple of 7974 and 7978

Properties of GCF 7974 and 7978

(i) The GCF of 7974 and 7978 is associative

GCF of 7974 and 7978 = GCF of 7978 and 7974

Related Greatest Common Factor of 7974

Related Greatest Common Factor of 7978

Frequently Asked Questions on GCF of 7974 and 7978

1. What is the GCF of 7974 and 7978?

Answer: GCF of 7974 and 7978 is 2.

2. What are the Factors of 7974?

Answer: Factors of 7974 are 1, 2, 3, 6, 9, 18, 443, 886, 1329, 2658, 3987, 7974. There are 12 integers that are factors of 7974. The greatest factor of 7974 is 7974.

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 7974 and 7978?

Answer:

Greatest Common Factor of 7974 and 7978 = 2

Step 1: Find the prime factorization of 7974

7974 = 2 x 3 x 3 x 443

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 7974 and 7978 is 2