What is the Greatest Common Factor of 36624 and 36633?

Greatest common factor (GCF) of 36624 and 36633 is 3.

GCF(36624,36633) = 3

We will now calculate the prime factors of 36624 and 36633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36624 and 36633.

How to find the GCF of 36624 and 36633?

We will first find the prime factorization of 36624 and 36633. After we will calculate the factors of 36624 and 36633 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 36633

Prime factors of 36633 are 3, 12211. Prime factorization of 36633 in exponential form is:

36633 = 3¹ × 12211¹

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 36633

List of positive integer factors of 36633 that divides 36624 without a remainder.

1, 3, 12211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36624 and 36633. The biggest common factor number is the GCF number.
So the greatest common factor 36624 and 36633 is 3.

Also check out the Least Common Multiple of 36624 and 36633