What is the Greatest Common Factor of 24624 and 24636?

Greatest common factor (GCF) of 24624 and 24636 is 12.

GCF(24624,24636) = 12

We will now calculate the prime factors of 24624 and 24636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24624 and 24636.

How to find the GCF of 24624 and 24636?

We will first find the prime factorization of 24624 and 24636. After we will calculate the factors of 24624 and 24636 and find the biggest common factor number .

Step-1: Prime Factorization of 24624

Prime factors of 24624 are 2, 3, 19. Prime factorization of 24624 in exponential form is:

24624 = 2⁴ × 3⁴ × 19¹

Step-2: Prime Factorization of 24636

Prime factors of 24636 are 2, 3, 2053. Prime factorization of 24636 in exponential form is:

24636 = 2² × 3¹ × 2053¹

Step-3: Factors of 24624

List of positive integer factors of 24624 that divides 24624 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 36, 38, 48, 54, 57, 72, 76, 81, 108, 114, 144, 152, 162, 171, 216, 228, 304, 324, 342, 432, 456, 513, 648, 684, 912, 1026, 1296, 1368, 1539, 2052, 2736, 3078, 4104, 6156, 8208, 12312

Step-4: Factors of 24636

List of positive integer factors of 24636 that divides 24624 without a remainder.

1, 2, 3, 4, 6, 12, 2053, 4106, 6159, 8212, 12318

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24624 and 24636. The biggest common factor number is the GCF number.
So the greatest common factor 24624 and 24636 is 12.

Also check out the Least Common Multiple of 24624 and 24636