Greatest Common Factor of 592 and 599

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 592, 599 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 592 and 599 is 1.

GCF(592,599) = 1

GCF of 592 and 599

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

GCF of:
and

Greatest Common Factor of 592 and 599

GCF of 592 and 599 is 1

Prime Factorization of 592


2 592
2 296
2 148
2 74
37 37
1

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

592 = 24×371

Prime Factorization of 599


599 599
1

Prime factors of 599 are 599. Prime factorization of 599 in exponential form is:

599 = 5991

∴ So by taking common prime factors GCF of 592 and 599 is 1

Greatest Common Factor of 592 and 599 by matching factors method

Factors of 592

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

1,2,4,8,16,37,74,148,296,592

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Greatest Common Factor

We found the factors and prime factorization of 592 and 599. The biggest common factor number is the GCF number.
So the greatest common factor 592 and 599 is 1.

Also check out the Least Common Multiple of 592 and 599

Properties of GCF 592 and 599

(i) The GCF of 592 and 599 is associative

GCF of 592 and 599 = GCF of 599 and 592

Related Greatest Common Factor of 592

Related Greatest Common Factor of 599

Frequently Asked Questions on GCF of 592 and 599

1. What is the GCF of 592 and 599?

Answer: GCF of 592 and 599 is 1.

2. What are the Factors of 592?

Answer: Factors of 592 are 1, 2, 4, 8, 16, 37, 74, 148, 296, 592. There are 10 integers that are factors of 592. The greatest factor of 592 is 592.

3. What are the Factors of 599?

Answer: Factors of 599 are 1, 599. There are 2 integers that are factors of 599. The greatest factor of 599 is 599.

4. How to Find the GCF of 592 and 599?

Answer:

Greatest Common Factor of 592 and 599 = 1

Step 1: Find the prime factorization of 592

592 = 2 x 2 x 2 x 2 x 37

Step 2: Find the prime factorization of 599

599 = 599

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 592 and 599 is 1