Greatest Common Factor of 591 and 597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 591, 597 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 591 and 597 is 3.

GCF(591,597) = 3

GCF of 591 and 597

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 591 and 597

GCF of 591 and 597 is 3

Prime Factorization of 591


3 591
197 197
1

Prime factors of 591 are 3,197. Prime factorization of 591 in exponential form is:

591 = 31×1971

Prime Factorization of 597


3 597
199 199
1

Prime factors of 597 are 3,199. Prime factorization of 597 in exponential form is:

597 = 31×1991

∴ So by taking common prime factors GCF of 591 and 597 is 3

Greatest Common Factor of 591 and 597 by matching factors method

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Greatest Common Factor

We found the factors and prime factorization of 591 and 597. The biggest common factor number is the GCF number.
So the greatest common factor 591 and 597 is 3.

Also check out the Least Common Multiple of 591 and 597

Properties of GCF 591 and 597

(i) The GCF of 591 and 597 is associative

GCF of 591 and 597 = GCF of 597 and 591

Related Greatest Common Factor of 591

Related Greatest Common Factor of 597

Frequently Asked Questions on GCF of 591 and 597

1. What is the GCF of 591 and 597?

Answer: GCF of 591 and 597 is 3.

2. What are the Factors of 591?

Answer: Factors of 591 are 1, 3, 197, 591. There are 4 integers that are factors of 591. The greatest factor of 591 is 591.

3. What are the Factors of 597?

Answer: Factors of 597 are 1, 3, 199, 597. There are 4 integers that are factors of 597. The greatest factor of 597 is 597.

4. How to Find the GCF of 591 and 597?

Answer:

Greatest Common Factor of 591 and 597 = 3

Step 1: Find the prime factorization of 591

591 = 3 x 197

Step 2: Find the prime factorization of 597

597 = 3 x 199

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 591 and 597 is 3