What is the Greatest Common Factor of 28519 and 28538?

Greatest common factor (GCF) of 28519 and 28538 is 19.

GCF(28519,28538) = 19

We will now calculate the prime factors of 28519 and 28538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28519 and 28538.

How to find the GCF of 28519 and 28538?

We will first find the prime factorization of 28519 and 28538. After we will calculate the factors of 28519 and 28538 and find the biggest common factor number .

Step-1: Prime Factorization of 28519

Prime factors of 28519 are 19, 79. Prime factorization of 28519 in exponential form is:

28519 = 19² × 79¹

Step-2: 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-3: Factors of 28519

List of positive integer factors of 28519 that divides 28519 without a remainder.

1, 19, 79, 361, 1501

Step-4: Factors of 28538

List of positive integer factors of 28538 that divides 28519 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28519 and 28538. The biggest common factor number is the GCF number.
So the greatest common factor 28519 and 28538 is 19.

Also check out the Least Common Multiple of 28519 and 28538