Greatest Common Factor of 1590 and 1595

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, 1595 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1590 and 1595 is 5.

GCF(1590,1595) = 5

GCF of 1590 and 1595

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

GCF of:
and

Greatest Common Factor of 1590 and 1595

GCF of 1590 and 1595 is 5

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 1595


5 1595
11 319
29 29
1

Prime factors of 1595 are 5,11,29. Prime factorization of 1595 in exponential form is:

1595 = 51×111×291

∴ So by taking common prime factors GCF of 1590 and 1595 is 5

Greatest Common Factor of 1590 and 1595 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 1595

List of positive integer factors of 1595 that divides 1595 without a remainder.

1,5,11,29,55,145,319,1595

Greatest Common Factor

We found the factors and prime factorization of 1590 and 1595. The biggest common factor number is the GCF number.
So the greatest common factor 1590 and 1595 is 5.

Also check out the Least Common Multiple of 1590 and 1595

Properties of GCF 1590 and 1595

(i) The GCF of 1590 and 1595 is associative

GCF of 1590 and 1595 = GCF of 1595 and 1590

Related Greatest Common Factor of 1590

Related Greatest Common Factor of 1595

Frequently Asked Questions on GCF of 1590 and 1595

1. What is the GCF of 1590 and 1595?

Answer: GCF of 1590 and 1595 is 5.

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 1595?

Answer: Factors of 1595 are 1, 5, 11, 29, 55, 145, 319, 1595. There are 8 integers that are factors of 1595. The greatest factor of 1595 is 1595.

4. How to Find the GCF of 1590 and 1595?

Answer:

Greatest Common Factor of 1590 and 1595 = 5

Step 1: Find the prime factorization of 1590

1590 = 2 x 3 x 5 x 53

Step 2: Find the prime factorization of 1595

1595 = 5 x 11 x 29

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

GCF = 5

Step 4: Therefore, the greatest common factor of 1590 and 1595 is 5