What is the Greatest Common Factor of 6972 and 6979?

Greatest common factor (GCF) of 6972 and 6979 is 7.

GCF(6972,6979) = 7

We will now calculate the prime factors of 6972 and 6979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6972 and 6979.

How to find the GCF of 6972 and 6979?

We will first find the prime factorization of 6972 and 6979. After we will calculate the factors of 6972 and 6979 and find the biggest common factor number .

Step-1: Prime Factorization of 6972

Prime factors of 6972 are 2, 3, 7, 83. Prime factorization of 6972 in exponential form is:

6972 = 2² × 3¹ × 7¹ × 83¹

Step-2: Prime Factorization of 6979

Prime factors of 6979 are 7, 997. Prime factorization of 6979 in exponential form is:

6979 = 7¹ × 997¹

Step-3: Factors of 6972

List of positive integer factors of 6972 that divides 6972 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 83, 84, 166, 249, 332, 498, 581, 996, 1162, 1743, 2324, 3486

Step-4: Factors of 6979

List of positive integer factors of 6979 that divides 6972 without a remainder.

1, 7, 997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6972 and 6979. The biggest common factor number is the GCF number.
So the greatest common factor 6972 and 6979 is 7.

Also check out the Least Common Multiple of 6972 and 6979