What is the Greatest Common Factor of 28538 and 28557?

Greatest common factor (GCF) of 28538 and 28557 is 19.

GCF(28538,28557) = 19

We will now calculate the prime factors of 28538 and 28557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28538 and 28557.

How to find the GCF of 28538 and 28557?

We will first find the prime factorization of 28538 and 28557. After we will calculate the factors of 28538 and 28557 and find the biggest common factor number .

Step-1: Prime Factorization of 28538

Prime factors of 28538 are 2, 19, 751. Prime factorization of 28538 in exponential form is:

28538 = 2¹ × 19¹ × 751¹

Step-2: Prime Factorization of 28557

Prime factors of 28557 are 3, 19, 167. Prime factorization of 28557 in exponential form is:

28557 = 3² × 19¹ × 167¹

Step-3: Factors of 28538

List of positive integer factors of 28538 that divides 28538 without a remainder.

1, 2, 19, 38, 751, 1502, 14269

Step-4: Factors of 28557

List of positive integer factors of 28557 that divides 28538 without a remainder.

1, 3, 9, 19, 57, 167, 171, 501, 1503, 3173, 9519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28538 and 28557. The biggest common factor number is the GCF number.
So the greatest common factor 28538 and 28557 is 19.

Also check out the Least Common Multiple of 28538 and 28557