What is the Greatest Common Factor of 24636 and 24648?

Greatest common factor (GCF) of 24636 and 24648 is 12.

GCF(24636,24648) = 12

We will now calculate the prime factors of 24636 and 24648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24636 and 24648.

How to find the GCF of 24636 and 24648?

We will first find the prime factorization of 24636 and 24648. After we will calculate the factors of 24636 and 24648 and find the biggest common factor number .

Step-1: Prime Factorization of 24636

Prime factors of 24636 are 2, 3, 2053. Prime factorization of 24636 in exponential form is:

24636 = 2² × 3¹ × 2053¹

Step-2: 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-3: Factors of 24636

List of positive integer factors of 24636 that divides 24636 without a remainder.

1, 2, 3, 4, 6, 12, 2053, 4106, 6159, 8212, 12318

Step-4: Factors of 24648

List of positive integer factors of 24648 that divides 24636 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24636 and 24648. The biggest common factor number is the GCF number.
So the greatest common factor 24636 and 24648 is 12.

Also check out the Least Common Multiple of 24636 and 24648