Greatest Common Factor of 1590 and 1598

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 1590, 1598 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1590 and 1598 is 2.

GCF(1590,1598) = 2

GCF of 1590 and 1598

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

GCF of:
and

Greatest Common Factor of 1590 and 1598

GCF of 1590 and 1598 is 2

Prime Factorization of 1590


2 1590
3 795
5 265
53 53
1

Prime factors of 1590 are 2,3,5,53. Prime factorization of 1590 in exponential form is:

1590 = 21×31×51×531

Prime Factorization of 1598


2 1598
17 799
47 47
1

Prime factors of 1598 are 2,17,47. Prime factorization of 1598 in exponential form is:

1598 = 21×171×471

∴ So by taking common prime factors GCF of 1590 and 1598 is 2

Greatest Common Factor of 1590 and 1598 by matching factors method

Factors of 1590

List of positive integer factors of 1590 that divides 1590 without a remainder.

1,2,3,5,6,10,15,30,53,106,159,265,318,530,795,1590

Factors of 1598

List of positive integer factors of 1598 that divides 1598 without a remainder.

1,2,17,34,47,94,799,1598

Greatest Common Factor

We found the factors and prime factorization of 1590 and 1598. The biggest common factor number is the GCF number.
So the greatest common factor 1590 and 1598 is 2.

Also check out the Least Common Multiple of 1590 and 1598

Properties of GCF 1590 and 1598

(i) The GCF of 1590 and 1598 is associative

GCF of 1590 and 1598 = GCF of 1598 and 1590

Related Greatest Common Factor of 1590

Related Greatest Common Factor of 1598

Frequently Asked Questions on GCF of 1590 and 1598

1. What is the GCF of 1590 and 1598?

Answer: GCF of 1590 and 1598 is 2.

2. What are the Factors of 1590?

Answer: Factors of 1590 are 1, 2, 3, 5, 6, 10, 15, 30, 53, 106, 159, 265, 318, 530, 795, 1590. There are 16 integers that are factors of 1590. The greatest factor of 1590 is 1590.

3. What are the Factors of 1598?

Answer: Factors of 1598 are 1, 2, 17, 34, 47, 94, 799, 1598. There are 8 integers that are factors of 1598. The greatest factor of 1598 is 1598.

4. How to Find the GCF of 1590 and 1598?

Answer:

Greatest Common Factor of 1590 and 1598 = 2

Step 1: Find the prime factorization of 1590

1590 = 2 x 3 x 5 x 53

Step 2: Find the prime factorization of 1598

1598 = 2 x 17 x 47

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1590 and 1598 is 2