What is the Greatest Common Factor of 28588 and 28607?

Greatest common factor (GCF) of 28588 and 28607 is 1.

GCF(28588,28607) = 1

We will now calculate the prime factors of 28588 and 28607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28588 and 28607.

How to find the GCF of 28588 and 28607?

We will first find the prime factorization of 28588 and 28607. After we will calculate the factors of 28588 and 28607 and find the biggest common factor number .

Step-1: Prime Factorization of 28588

Prime factors of 28588 are 2, 7, 1021. Prime factorization of 28588 in exponential form is:

28588 = 2² × 7¹ × 1021¹

Step-2: Prime Factorization of 28607

Prime factors of 28607 are 28607. Prime factorization of 28607 in exponential form is:

28607 = 28607¹

Step-3: Factors of 28588

List of positive integer factors of 28588 that divides 28588 without a remainder.

1, 2, 4, 7, 14, 28, 1021, 2042, 4084, 7147, 14294

Step-4: Factors of 28607

List of positive integer factors of 28607 that divides 28588 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28588 and 28607. The biggest common factor number is the GCF number.
So the greatest common factor 28588 and 28607 is 1.

Also check out the Least Common Multiple of 28588 and 28607