What is the Greatest Common Factor of 60628 and 60644?

Greatest common factor (GCF) of 60628 and 60644 is 4.

GCF(60628,60644) = 4

We will now calculate the prime factors of 60628 and 60644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60628 and 60644.

How to find the GCF of 60628 and 60644?

We will first find the prime factorization of 60628 and 60644. After we will calculate the factors of 60628 and 60644 and find the biggest common factor number .

Step-1: Prime Factorization of 60628

Prime factors of 60628 are 2, 23, 659. Prime factorization of 60628 in exponential form is:

60628 = 2² × 23¹ × 659¹

Step-2: Prime Factorization of 60644

Prime factors of 60644 are 2, 15161. Prime factorization of 60644 in exponential form is:

60644 = 2² × 15161¹

Step-3: Factors of 60628

List of positive integer factors of 60628 that divides 60628 without a remainder.

1, 2, 4, 23, 46, 92, 659, 1318, 2636, 15157, 30314

Step-4: Factors of 60644

List of positive integer factors of 60644 that divides 60628 without a remainder.

1, 2, 4, 15161, 30322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60628 and 60644. The biggest common factor number is the GCF number.
So the greatest common factor 60628 and 60644 is 4.

Also check out the Least Common Multiple of 60628 and 60644