What is the Greatest Common Factor of 48921 and 48936?

Greatest common factor (GCF) of 48921 and 48936 is 3.

GCF(48921,48936) = 3

We will now calculate the prime factors of 48921 and 48936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48921 and 48936.

How to find the GCF of 48921 and 48936?

We will first find the prime factorization of 48921 and 48936. After we will calculate the factors of 48921 and 48936 and find the biggest common factor number .

Step-1: Prime Factorization of 48921

Prime factors of 48921 are 3, 23, 709. Prime factorization of 48921 in exponential form is:

48921 = 3¹ × 23¹ × 709¹

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 48921

List of positive integer factors of 48921 that divides 48921 without a remainder.

1, 3, 23, 69, 709, 2127, 16307

Step-4: Factors of 48936

List of positive integer factors of 48936 that divides 48921 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 48921 and 48936. The biggest common factor number is the GCF number.
So the greatest common factor 48921 and 48936 is 3.

Also check out the Least Common Multiple of 48921 and 48936