What is the Greatest Common Factor of 24624 and 24639?

Greatest common factor (GCF) of 24624 and 24639 is 3.

GCF(24624,24639) = 3

We will now calculate the prime factors of 24624 and 24639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24624 and 24639.

How to find the GCF of 24624 and 24639?

We will first find the prime factorization of 24624 and 24639. After we will calculate the factors of 24624 and 24639 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 24639

Prime factors of 24639 are 3, 43, 191. Prime factorization of 24639 in exponential form is:

24639 = 3¹ × 43¹ × 191¹

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 24639

List of positive integer factors of 24639 that divides 24624 without a remainder.

1, 3, 43, 129, 191, 573, 8213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24624 and 24639. The biggest common factor number is the GCF number.
So the greatest common factor 24624 and 24639 is 3.

Also check out the Least Common Multiple of 24624 and 24639