What is the Greatest Common Factor of 24648 and 24657?

Greatest common factor (GCF) of 24648 and 24657 is 3.

GCF(24648,24657) = 3

We will now calculate the prime factors of 24648 and 24657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24648 and 24657.

How to find the GCF of 24648 and 24657?

We will first find the prime factorization of 24648 and 24657. After we will calculate the factors of 24648 and 24657 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 24657

Prime factors of 24657 are 3, 8219. Prime factorization of 24657 in exponential form is:

24657 = 3¹ × 8219¹

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 24657

List of positive integer factors of 24657 that divides 24648 without a remainder.

1, 3, 8219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24648 and 24657. The biggest common factor number is the GCF number.
So the greatest common factor 24648 and 24657 is 3.

Also check out the Least Common Multiple of 24648 and 24657