What is the Greatest Common Factor of 28715 and 28727?

Greatest common factor (GCF) of 28715 and 28727 is 1.

GCF(28715,28727) = 1

We will now calculate the prime factors of 28715 and 28727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28715 and 28727.

How to find the GCF of 28715 and 28727?

We will first find the prime factorization of 28715 and 28727. After we will calculate the factors of 28715 and 28727 and find the biggest common factor number .

Step-1: Prime Factorization of 28715

Prime factors of 28715 are 5, 5743. Prime factorization of 28715 in exponential form is:

28715 = 5¹ × 5743¹

Step-2: Prime Factorization of 28727

Prime factors of 28727 are 23, 1249. Prime factorization of 28727 in exponential form is:

28727 = 23¹ × 1249¹

Step-3: Factors of 28715

List of positive integer factors of 28715 that divides 28715 without a remainder.

1, 5, 5743

Step-4: Factors of 28727

List of positive integer factors of 28727 that divides 28715 without a remainder.

1, 23, 1249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28715 and 28727. The biggest common factor number is the GCF number.
So the greatest common factor 28715 and 28727 is 1.

Also check out the Least Common Multiple of 28715 and 28727