What is the Greatest Common Factor of 28219 and 28231?

Greatest common factor (GCF) of 28219 and 28231 is 1.

GCF(28219,28231) = 1

We will now calculate the prime factors of 28219 and 28231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28219 and 28231.

How to find the GCF of 28219 and 28231?

We will first find the prime factorization of 28219 and 28231. After we will calculate the factors of 28219 and 28231 and find the biggest common factor number .

Step-1: Prime Factorization of 28219

Prime factors of 28219 are 28219. Prime factorization of 28219 in exponential form is:

28219 = 28219¹

Step-2: Prime Factorization of 28231

Prime factors of 28231 are 7, 37, 109. Prime factorization of 28231 in exponential form is:

28231 = 7¹ × 37¹ × 109¹

Step-3: Factors of 28219

List of positive integer factors of 28219 that divides 28219 without a remainder.

Step-4: Factors of 28231

List of positive integer factors of 28231 that divides 28219 without a remainder.

1, 7, 37, 109, 259, 763, 4033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28219 and 28231. The biggest common factor number is the GCF number.
So the greatest common factor 28219 and 28231 is 1.

Also check out the Least Common Multiple of 28219 and 28231