What is the Greatest Common Factor of 36972 and 36981?

Greatest common factor (GCF) of 36972 and 36981 is 9.

GCF(36972,36981) = 9

We will now calculate the prime factors of 36972 and 36981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36972 and 36981.

How to find the GCF of 36972 and 36981?

We will first find the prime factorization of 36972 and 36981. After we will calculate the factors of 36972 and 36981 and find the biggest common factor number .

Step-1: Prime Factorization of 36972

Prime factors of 36972 are 2, 3, 13, 79. Prime factorization of 36972 in exponential form is:

36972 = 2² × 3² × 13¹ × 79¹

Step-2: Prime Factorization of 36981

Prime factors of 36981 are 3, 7, 587. Prime factorization of 36981 in exponential form is:

36981 = 3² × 7¹ × 587¹

Step-3: Factors of 36972

List of positive integer factors of 36972 that divides 36972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 79, 117, 156, 158, 234, 237, 316, 468, 474, 711, 948, 1027, 1422, 2054, 2844, 3081, 4108, 6162, 9243, 12324, 18486

Step-4: Factors of 36981

List of positive integer factors of 36981 that divides 36972 without a remainder.

1, 3, 7, 9, 21, 63, 587, 1761, 4109, 5283, 12327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36972 and 36981. The biggest common factor number is the GCF number.
So the greatest common factor 36972 and 36981 is 9.

Also check out the Least Common Multiple of 36972 and 36981