What is the Greatest Common Factor of 588 and 596?

Greatest common factor (GCF) of 588 and 596 is 4.

GCF(588,596) = 4

We will now calculate the prime factors of 588 and 596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 588 and 596.

How to find the GCF of 588 and 596?

We will first find the prime factorization of 588 and 596. After we will calculate the factors of 588 and 596 and find the biggest common factor number .

Step-1: Prime Factorization of 588

Prime factors of 588 are 2, 3, 7. Prime factorization of 588 in exponential form is:

588 = 2² × 3¹ × 7²

Step-2: Prime Factorization of 596

Prime factors of 596 are 2, 149. Prime factorization of 596 in exponential form is:

596 = 2² × 149¹

Step-3: Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294

Step-4: Factors of 596

List of positive integer factors of 596 that divides 588 without a remainder.

1, 2, 4, 149, 298

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 588 and 596. The biggest common factor number is the GCF number.
So the greatest common factor 588 and 596 is 4.

Also check out the Least Common Multiple of 588 and 596