What is the Greatest Common Factor of 588 and 595?

Greatest common factor (GCF) of 588 and 595 is 7.

GCF(588,595) = 7

We will now calculate the prime factors of 588 and 595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 588 and 595.

How to find the GCF of 588 and 595?

We will first find the prime factorization of 588 and 595. After we will calculate the factors of 588 and 595 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 595

Prime factors of 595 are 5, 7, 17. Prime factorization of 595 in exponential form is:

595 = 5¹ × 7¹ × 17¹

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 595

List of positive integer factors of 595 that divides 588 without a remainder.

1, 5, 7, 17, 35, 85, 119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 588 and 595. The biggest common factor number is the GCF number.
So the greatest common factor 588 and 595 is 7.

Also check out the Least Common Multiple of 588 and 595