What is the Greatest Common Factor of 24912 and 24924?

Greatest common factor (GCF) of 24912 and 24924 is 12.

GCF(24912,24924) = 12

We will now calculate the prime factors of 24912 and 24924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24912 and 24924.

How to find the GCF of 24912 and 24924?

We will first find the prime factorization of 24912 and 24924. After we will calculate the factors of 24912 and 24924 and find the biggest common factor number .

Step-1: Prime Factorization of 24912

Prime factors of 24912 are 2, 3, 173. Prime factorization of 24912 in exponential form is:

24912 = 2⁴ × 3² × 173¹

Step-2: Prime Factorization of 24924

Prime factors of 24924 are 2, 3, 31, 67. Prime factorization of 24924 in exponential form is:

24924 = 2² × 3¹ × 31¹ × 67¹

Step-3: Factors of 24912

List of positive integer factors of 24912 that divides 24912 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 173, 346, 519, 692, 1038, 1384, 1557, 2076, 2768, 3114, 4152, 6228, 8304, 12456

Step-4: Factors of 24924

List of positive integer factors of 24924 that divides 24912 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 67, 93, 124, 134, 186, 201, 268, 372, 402, 804, 2077, 4154, 6231, 8308, 12462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24912 and 24924. The biggest common factor number is the GCF number.
So the greatest common factor 24912 and 24924 is 12.

Also check out the Least Common Multiple of 24912 and 24924