What is the Greatest Common Factor of 28588 and 28606?

Greatest common factor (GCF) of 28588 and 28606 is 2.

GCF(28588,28606) = 2

We will now calculate the prime factors of 28588 and 28606, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28588 and 28606.

How to find the GCF of 28588 and 28606?

We will first find the prime factorization of 28588 and 28606. After we will calculate the factors of 28588 and 28606 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 28606

Prime factors of 28606 are 2, 14303. Prime factorization of 28606 in exponential form is:

28606 = 2¹ × 14303¹

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 28606

List of positive integer factors of 28606 that divides 28588 without a remainder.

1, 2, 14303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28588 and 28606. The biggest common factor number is the GCF number.
So the greatest common factor 28588 and 28606 is 2.

Also check out the Least Common Multiple of 28588 and 28606