What is the Greatest Common Factor of 60596 and 60612?

Greatest common factor (GCF) of 60596 and 60612 is 4.

GCF(60596,60612) = 4

We will now calculate the prime factors of 60596 and 60612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60596 and 60612.

How to find the GCF of 60596 and 60612?

We will first find the prime factorization of 60596 and 60612. After we will calculate the factors of 60596 and 60612 and find the biggest common factor number .

Step-1: Prime Factorization of 60596

Prime factors of 60596 are 2, 15149. Prime factorization of 60596 in exponential form is:

60596 = 2² × 15149¹

Step-2: Prime Factorization of 60612

Prime factors of 60612 are 2, 3, 5051. Prime factorization of 60612 in exponential form is:

60612 = 2² × 3¹ × 5051¹

Step-3: Factors of 60596

List of positive integer factors of 60596 that divides 60596 without a remainder.

1, 2, 4, 15149, 30298

Step-4: Factors of 60612

List of positive integer factors of 60612 that divides 60596 without a remainder.

1, 2, 3, 4, 6, 12, 5051, 10102, 15153, 20204, 30306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60596 and 60612. The biggest common factor number is the GCF number.
So the greatest common factor 60596 and 60612 is 4.

Also check out the Least Common Multiple of 60596 and 60612