Greatest Common Factor of 1590 and 1596

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, 1596 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1590 and 1596 is 6.

GCF(1590,1596) = 6

GCF of 1590 and 1596

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

GCF of:
and

Greatest Common Factor of 1590 and 1596

GCF of 1590 and 1596 is 6

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 1596


2 1596
2 798
3 399
7 133
19 19
1

Prime factors of 1596 are 2,3,7,19. Prime factorization of 1596 in exponential form is:

1596 = 22×31×71×191

∴ So by taking common prime factors GCF of 1590 and 1596 is 6

Greatest Common Factor of 1590 and 1596 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 1596

List of positive integer factors of 1596 that divides 1596 without a remainder.

1,2,3,4,6,7,12,14,19,21,28,38,42,57,76,84,114,133,228,266,399,532,798,1596

Greatest Common Factor

We found the factors and prime factorization of 1590 and 1596. The biggest common factor number is the GCF number.
So the greatest common factor 1590 and 1596 is 6.

Also check out the Least Common Multiple of 1590 and 1596

Properties of GCF 1590 and 1596

(i) The GCF of 1590 and 1596 is associative

GCF of 1590 and 1596 = GCF of 1596 and 1590

Related Greatest Common Factor of 1590

Related Greatest Common Factor of 1596

Frequently Asked Questions on GCF of 1590 and 1596

1. What is the GCF of 1590 and 1596?

Answer: GCF of 1590 and 1596 is 6.

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 1596?

Answer: Factors of 1596 are 1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 42, 57, 76, 84, 114, 133, 228, 266, 399, 532, 798, 1596. There are 24 integers that are factors of 1596. The greatest factor of 1596 is 1596.

4. How to Find the GCF of 1590 and 1596?

Answer:

Greatest Common Factor of 1590 and 1596 = 6

Step 1: Find the prime factorization of 1590

1590 = 2 x 3 x 5 x 53

Step 2: Find the prime factorization of 1596

1596 = 2 x 2 x 3 x 7 x 19

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 1590 and 1596 is 6