What is the Greatest Common Factor of 48924 and 48936?

Greatest common factor (GCF) of 48924 and 48936 is 12.

GCF(48924,48936) = 12

We will now calculate the prime factors of 48924 and 48936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48924 and 48936.

How to find the GCF of 48924 and 48936?

We will first find the prime factorization of 48924 and 48936. After we will calculate the factors of 48924 and 48936 and find the biggest common factor number .

Step-1: Prime Factorization of 48924

Prime factors of 48924 are 2, 3, 151. Prime factorization of 48924 in exponential form is:

48924 = 2² × 3⁴ × 151¹

Step-2: Prime Factorization of 48936

Prime factors of 48936 are 2, 3, 2039. Prime factorization of 48936 in exponential form is:

48936 = 2³ × 3¹ × 2039¹

Step-3: Factors of 48924

List of positive integer factors of 48924 that divides 48924 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 151, 162, 302, 324, 453, 604, 906, 1359, 1812, 2718, 4077, 5436, 8154, 12231, 16308, 24462

Step-4: Factors of 48936

List of positive integer factors of 48936 that divides 48924 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2039, 4078, 6117, 8156, 12234, 16312, 24468

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48924 and 48936. The biggest common factor number is the GCF number.
So the greatest common factor 48924 and 48936 is 12.

Also check out the Least Common Multiple of 48924 and 48936