What is the Greatest Common Factor of 28575 and 28588?

Greatest common factor (GCF) of 28575 and 28588 is 1.

GCF(28575,28588) = 1

We will now calculate the prime factors of 28575 and 28588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28575 and 28588.

How to find the GCF of 28575 and 28588?

We will first find the prime factorization of 28575 and 28588. After we will calculate the factors of 28575 and 28588 and find the biggest common factor number .

Step-1: Prime Factorization of 28575

Prime factors of 28575 are 3, 5, 127. Prime factorization of 28575 in exponential form is:

28575 = 3² × 5² × 127¹

Step-2: 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-3: Factors of 28575

List of positive integer factors of 28575 that divides 28575 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 127, 225, 381, 635, 1143, 1905, 3175, 5715, 9525

Step-4: Factors of 28588

List of positive integer factors of 28588 that divides 28575 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28575 and 28588. The biggest common factor number is the GCF number.
So the greatest common factor 28575 and 28588 is 1.

Also check out the Least Common Multiple of 28575 and 28588