Greatest Common Factor of 1580 and 1585

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 1580, 1585 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1580 and 1585 is 5.

GCF(1580,1585) = 5

GCF of 1580 and 1585

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

GCF of:
and

Greatest Common Factor of 1580 and 1585

GCF of 1580 and 1585 is 5

Prime Factorization of 1580


2 1580
2 790
5 395
79 79
1

Prime factors of 1580 are 2,5,79. Prime factorization of 1580 in exponential form is:

1580 = 22×51×791

Prime Factorization of 1585


5 1585
317 317
1

Prime factors of 1585 are 5,317. Prime factorization of 1585 in exponential form is:

1585 = 51×3171

∴ So by taking common prime factors GCF of 1580 and 1585 is 5

Greatest Common Factor of 1580 and 1585 by matching factors method

Factors of 1580

List of positive integer factors of 1580 that divides 1580 without a remainder.

1,2,4,5,10,20,79,158,316,395,790,1580

Factors of 1585

List of positive integer factors of 1585 that divides 1585 without a remainder.

1,5,317,1585

Greatest Common Factor

We found the factors and prime factorization of 1580 and 1585. The biggest common factor number is the GCF number.
So the greatest common factor 1580 and 1585 is 5.

Also check out the Least Common Multiple of 1580 and 1585

Properties of GCF 1580 and 1585

(i) The GCF of 1580 and 1585 is associative

GCF of 1580 and 1585 = GCF of 1585 and 1580

Related Greatest Common Factor of 1580

Related Greatest Common Factor of 1585

Frequently Asked Questions on GCF of 1580 and 1585

1. What is the GCF of 1580 and 1585?

Answer: GCF of 1580 and 1585 is 5.

2. What are the Factors of 1580?

Answer: Factors of 1580 are 1, 2, 4, 5, 10, 20, 79, 158, 316, 395, 790, 1580. There are 12 integers that are factors of 1580. The greatest factor of 1580 is 1580.

3. What are the Factors of 1585?

Answer: Factors of 1585 are 1, 5, 317, 1585. There are 4 integers that are factors of 1585. The greatest factor of 1585 is 1585.

4. How to Find the GCF of 1580 and 1585?

Answer:

Greatest Common Factor of 1580 and 1585 = 5

Step 1: Find the prime factorization of 1580

1580 = 2 x 2 x 5 x 79

Step 2: Find the prime factorization of 1585

1585 = 5 x 317

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 1580 and 1585 is 5