Greatest Common Factor of 7974 and 7979

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, 7979 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7974 and 7979 is 1.

GCF(7974,7979) = 1

GCF of 7974 and 7979

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

GCF of:
and

Greatest Common Factor of 7974 and 7979

GCF of 7974 and 7979 is 1

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 7979


79 7979
101 101
1

Prime factors of 7979 are 79,101. Prime factorization of 7979 in exponential form is:

7979 = 791×1011

∴ So by taking common prime factors GCF of 7974 and 7979 is 1

Greatest Common Factor of 7974 and 7979 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 7979

List of positive integer factors of 7979 that divides 7979 without a remainder.

1,79,101,7979

Greatest Common Factor

We found the factors and prime factorization of 7974 and 7979. The biggest common factor number is the GCF number.
So the greatest common factor 7974 and 7979 is 1.

Also check out the Least Common Multiple of 7974 and 7979

Properties of GCF 7974 and 7979

(i) The GCF of 7974 and 7979 is associative

GCF of 7974 and 7979 = GCF of 7979 and 7974

Related Greatest Common Factor of 7974

Related Greatest Common Factor of 7979

Frequently Asked Questions on GCF of 7974 and 7979

1. What is the GCF of 7974 and 7979?

Answer: GCF of 7974 and 7979 is 1.

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 7979?

Answer: Factors of 7979 are 1, 79, 101, 7979. There are 4 integers that are factors of 7979. The greatest factor of 7979 is 7979.

4. How to Find the GCF of 7974 and 7979?

Answer:

Greatest Common Factor of 7974 and 7979 = 1

Step 1: Find the prime factorization of 7974

7974 = 2 x 3 x 3 x 443

Step 2: Find the prime factorization of 7979

7979 = 79 x 101

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 7974 and 7979 is 1