What is the Greatest Common Factor of 36624 and 36638?

Greatest common factor (GCF) of 36624 and 36638 is 14.

GCF(36624,36638) = 14

We will now calculate the prime factors of 36624 and 36638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36624 and 36638.

How to find the GCF of 36624 and 36638?

We will first find the prime factorization of 36624 and 36638. After we will calculate the factors of 36624 and 36638 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 36638

Prime factors of 36638 are 2, 7, 2617. Prime factorization of 36638 in exponential form is:

36638 = 2¹ × 7¹ × 2617¹

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 36638

List of positive integer factors of 36638 that divides 36624 without a remainder.

1, 2, 7, 14, 2617, 5234, 18319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36624 and 36638. The biggest common factor number is the GCF number.
So the greatest common factor 36624 and 36638 is 14.

Also check out the Least Common Multiple of 36624 and 36638