What is the Greatest Common Factor of 36624 and 36631?

Greatest common factor (GCF) of 36624 and 36631 is 7.

GCF(36624,36631) = 7

We will now calculate the prime factors of 36624 and 36631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36624 and 36631.

How to find the GCF of 36624 and 36631?

We will first find the prime factorization of 36624 and 36631. After we will calculate the factors of 36624 and 36631 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36631

Prime factors of 36631 are 7, 5233. Prime factorization of 36631 in exponential form is:

36631 = 7¹ × 5233¹

Step-3: Factors of 36624

List of positive integer factors of 36624 that divides 36624 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

Step-4: Factors of 36631

List of positive integer factors of 36631 that divides 36624 without a remainder.

1, 7, 5233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36624 and 36631. The biggest common factor number is the GCF number.
So the greatest common factor 36624 and 36631 is 7.

Also check out the Least Common Multiple of 36624 and 36631