What is the Greatest Common Factor of 6972 and 6981?

Greatest common factor (GCF) of 6972 and 6981 is 3.

GCF(6972,6981) = 3

We will now calculate the prime factors of 6972 and 6981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6972 and 6981.

How to find the GCF of 6972 and 6981?

We will first find the prime factorization of 6972 and 6981. After we will calculate the factors of 6972 and 6981 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 6981

Prime factors of 6981 are 3, 13, 179. Prime factorization of 6981 in exponential form is:

6981 = 3¹ × 13¹ × 179¹

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 6981

List of positive integer factors of 6981 that divides 6972 without a remainder.

1, 3, 13, 39, 179, 537, 2327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6972 and 6981. The biggest common factor number is the GCF number.
So the greatest common factor 6972 and 6981 is 3.

Also check out the Least Common Multiple of 6972 and 6981