What is the Greatest Common Factor of 36972 and 36988?

Greatest common factor (GCF) of 36972 and 36988 is 4.

GCF(36972,36988) = 4

We will now calculate the prime factors of 36972 and 36988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36972 and 36988.

How to find the GCF of 36972 and 36988?

We will first find the prime factorization of 36972 and 36988. After we will calculate the factors of 36972 and 36988 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 36988

Prime factors of 36988 are 2, 7, 1321. Prime factorization of 36988 in exponential form is:

36988 = 2² × 7¹ × 1321¹

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 36988

List of positive integer factors of 36988 that divides 36972 without a remainder.

1, 2, 4, 7, 14, 28, 1321, 2642, 5284, 9247, 18494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36972 and 36988. The biggest common factor number is the GCF number.
So the greatest common factor 36972 and 36988 is 4.

Also check out the Least Common Multiple of 36972 and 36988