What is the Greatest Common Factor of 36604 and 36624?

Greatest common factor (GCF) of 36604 and 36624 is 4.

GCF(36604,36624) = 4

We will now calculate the prime factors of 36604 and 36624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36604 and 36624.

How to find the GCF of 36604 and 36624?

We will first find the prime factorization of 36604 and 36624. After we will calculate the factors of 36604 and 36624 and find the biggest common factor number .

Step-1: Prime Factorization of 36604

Prime factors of 36604 are 2, 9151. Prime factorization of 36604 in exponential form is:

36604 = 2² × 9151¹

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 36604

List of positive integer factors of 36604 that divides 36604 without a remainder.

1, 2, 4, 9151, 18302

Step-4: Factors of 36624

List of positive integer factors of 36624 that divides 36604 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 36604 and 36624. The biggest common factor number is the GCF number.
So the greatest common factor 36604 and 36624 is 4.

Also check out the Least Common Multiple of 36604 and 36624