What is the Greatest Common Factor of 48612 and 48628?

Greatest common factor (GCF) of 48612 and 48628 is 4.

GCF(48612,48628) = 4

We will now calculate the prime factors of 48612 and 48628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48612 and 48628.

How to find the GCF of 48612 and 48628?

We will first find the prime factorization of 48612 and 48628. After we will calculate the factors of 48612 and 48628 and find the biggest common factor number .

Step-1: Prime Factorization of 48612

Prime factors of 48612 are 2, 3, 4051. Prime factorization of 48612 in exponential form is:

48612 = 2² × 3¹ × 4051¹

Step-2: Prime Factorization of 48628

Prime factors of 48628 are 2, 12157. Prime factorization of 48628 in exponential form is:

48628 = 2² × 12157¹

Step-3: Factors of 48612

List of positive integer factors of 48612 that divides 48612 without a remainder.

1, 2, 3, 4, 6, 12, 4051, 8102, 12153, 16204, 24306

Step-4: Factors of 48628

List of positive integer factors of 48628 that divides 48612 without a remainder.

1, 2, 4, 12157, 24314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48612 and 48628. The biggest common factor number is the GCF number.
So the greatest common factor 48612 and 48628 is 4.

Also check out the Least Common Multiple of 48612 and 48628