What is the Greatest Common Factor of 592 and 608?

Greatest common factor (GCF) of 592 and 608 is 16.

GCF(592,608) = 16

We will now calculate the prime factors of 592 and 608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 592 and 608.

How to find the GCF of 592 and 608?

We will first find the prime factorization of 592 and 608. After we will calculate the factors of 592 and 608 and find the biggest common factor number .

Step-1: Prime Factorization of 592

Prime factors of 592 are 2, 37. Prime factorization of 592 in exponential form is:

592 = 2⁴ × 37¹

Step-2: Prime Factorization of 608

Prime factors of 608 are 2, 19. Prime factorization of 608 in exponential form is:

608 = 2⁵ × 19¹

Step-3: Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296

Step-4: Factors of 608

List of positive integer factors of 608 that divides 592 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 592 and 608. The biggest common factor number is the GCF number.
So the greatest common factor 592 and 608 is 16.

Also check out the Least Common Multiple of 592 and 608