What is the Greatest Common Factor of 24608 and 24624?

Greatest common factor (GCF) of 24608 and 24624 is 16.

GCF(24608,24624) = 16

We will now calculate the prime factors of 24608 and 24624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24608 and 24624.

How to find the GCF of 24608 and 24624?

We will first find the prime factorization of 24608 and 24624. After we will calculate the factors of 24608 and 24624 and find the biggest common factor number .

Step-1: Prime Factorization of 24608

Prime factors of 24608 are 2, 769. Prime factorization of 24608 in exponential form is:

24608 = 2⁵ × 769¹

Step-2: 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-3: Factors of 24608

List of positive integer factors of 24608 that divides 24608 without a remainder.

1, 2, 4, 8, 16, 32, 769, 1538, 3076, 6152, 12304

Step-4: Factors of 24624

List of positive integer factors of 24624 that divides 24608 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24608 and 24624. The biggest common factor number is the GCF number.
So the greatest common factor 24608 and 24624 is 16.

Also check out the Least Common Multiple of 24608 and 24624