What is the Greatest Common Factor of 36612 and 36624?

Greatest common factor (GCF) of 36612 and 36624 is 12.

GCF(36612,36624) = 12

We will now calculate the prime factors of 36612 and 36624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36612 and 36624.

How to find the GCF of 36612 and 36624?

We will first find the prime factorization of 36612 and 36624. After we will calculate the factors of 36612 and 36624 and find the biggest common factor number .

Step-1: Prime Factorization of 36612

Prime factors of 36612 are 2, 3, 113. Prime factorization of 36612 in exponential form is:

36612 = 2² × 3⁴ × 113¹

Step-2: Prime Factorization of 36624

Prime factors of 36624 are 2, 3, 7, 109. Prime factorization of 36624 in exponential form is:

36624 = 2⁴ × 3¹ × 7¹ × 109¹

Step-3: Factors of 36612

List of positive integer factors of 36612 that divides 36612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 113, 162, 226, 324, 339, 452, 678, 1017, 1356, 2034, 3051, 4068, 6102, 9153, 12204, 18306

Step-4: Factors of 36624

List of positive integer factors of 36624 that divides 36612 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 109, 112, 168, 218, 327, 336, 436, 654, 763, 872, 1308, 1526, 1744, 2289, 2616, 3052, 4578, 5232, 6104, 9156, 12208, 18312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36612 and 36624. The biggest common factor number is the GCF number.
So the greatest common factor 36612 and 36624 is 12.

Also check out the Least Common Multiple of 36612 and 36624