What is the Greatest Common Factor of 28588 and 28595?

Greatest common factor (GCF) of 28588 and 28595 is 7.

GCF(28588,28595) = 7

We will now calculate the prime factors of 28588 and 28595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28588 and 28595.

How to find the GCF of 28588 and 28595?

We will first find the prime factorization of 28588 and 28595. After we will calculate the factors of 28588 and 28595 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 28595

Prime factors of 28595 are 5, 7, 19, 43. Prime factorization of 28595 in exponential form is:

28595 = 5¹ × 7¹ × 19¹ × 43¹

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 28595

List of positive integer factors of 28595 that divides 28588 without a remainder.

1, 5, 7, 19, 35, 43, 95, 133, 215, 301, 665, 817, 1505, 4085, 5719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28588 and 28595. The biggest common factor number is the GCF number.
So the greatest common factor 28588 and 28595 is 7.

Also check out the Least Common Multiple of 28588 and 28595