What is the Greatest Common Factor of 52628 and 52644?

Greatest common factor (GCF) of 52628 and 52644 is 4.

GCF(52628,52644) = 4

We will now calculate the prime factors of 52628 and 52644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52628 and 52644.

How to find the GCF of 52628 and 52644?

We will first find the prime factorization of 52628 and 52644. After we will calculate the factors of 52628 and 52644 and find the biggest common factor number .

Step-1: Prime Factorization of 52628

Prime factors of 52628 are 2, 59, 223. Prime factorization of 52628 in exponential form is:

52628 = 2² × 59¹ × 223¹

Step-2: Prime Factorization of 52644

Prime factors of 52644 are 2, 3, 41, 107. Prime factorization of 52644 in exponential form is:

52644 = 2² × 3¹ × 41¹ × 107¹

Step-3: Factors of 52628

List of positive integer factors of 52628 that divides 52628 without a remainder.

1, 2, 4, 59, 118, 223, 236, 446, 892, 13157, 26314

Step-4: Factors of 52644

List of positive integer factors of 52644 that divides 52628 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 107, 123, 164, 214, 246, 321, 428, 492, 642, 1284, 4387, 8774, 13161, 17548, 26322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52628 and 52644. The biggest common factor number is the GCF number.
So the greatest common factor 52628 and 52644 is 4.

Also check out the Least Common Multiple of 52628 and 52644