What is the Greatest Common Factor of 24648 and 24656?

Greatest common factor (GCF) of 24648 and 24656 is 8.

GCF(24648,24656) = 8

We will now calculate the prime factors of 24648 and 24656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24648 and 24656.

How to find the GCF of 24648 and 24656?

We will first find the prime factorization of 24648 and 24656. After we will calculate the factors of 24648 and 24656 and find the biggest common factor number .

Step-1: Prime Factorization of 24648

Prime factors of 24648 are 2, 3, 13, 79. Prime factorization of 24648 in exponential form is:

24648 = 2³ × 3¹ × 13¹ × 79¹

Step-2: Prime Factorization of 24656

Prime factors of 24656 are 2, 23, 67. Prime factorization of 24656 in exponential form is:

24656 = 2⁴ × 23¹ × 67¹

Step-3: Factors of 24648

List of positive integer factors of 24648 that divides 24648 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 79, 104, 156, 158, 237, 312, 316, 474, 632, 948, 1027, 1896, 2054, 3081, 4108, 6162, 8216, 12324

Step-4: Factors of 24656

List of positive integer factors of 24656 that divides 24648 without a remainder.

1, 2, 4, 8, 16, 23, 46, 67, 92, 134, 184, 268, 368, 536, 1072, 1541, 3082, 6164, 12328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24648 and 24656. The biggest common factor number is the GCF number.
So the greatest common factor 24648 and 24656 is 8.

Also check out the Least Common Multiple of 24648 and 24656