Greatest Common Factor of 6580 and 6587

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 6580, 6587 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6580 and 6587 is 7.

GCF(6580,6587) = 7

GCF of 6580 and 6587

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

GCF of:
and

Greatest Common Factor of 6580 and 6587

GCF of 6580 and 6587 is 7

Prime Factorization of 6580


2 6580
2 3290
5 1645
7 329
47 47
1

Prime factors of 6580 are 2,5,7,47. Prime factorization of 6580 in exponential form is:

6580 = 22×51×71×471

Prime Factorization of 6587


7 6587
941 941
1

Prime factors of 6587 are 7,941. Prime factorization of 6587 in exponential form is:

6587 = 71×9411

∴ So by taking common prime factors GCF of 6580 and 6587 is 7

Greatest Common Factor of 6580 and 6587 by matching factors method

Factors of 6580

List of positive integer factors of 6580 that divides 6580 without a remainder.

1,2,4,5,7,10,14,20,28,35,47,70,94,140,188,235,329,470,658,940,1316,1645,3290,6580

Factors of 6587

List of positive integer factors of 6587 that divides 6587 without a remainder.

1,7,941,6587

Greatest Common Factor

We found the factors and prime factorization of 6580 and 6587. The biggest common factor number is the GCF number.
So the greatest common factor 6580 and 6587 is 7.

Also check out the Least Common Multiple of 6580 and 6587

Properties of GCF 6580 and 6587

(i) The GCF of 6580 and 6587 is associative

GCF of 6580 and 6587 = GCF of 6587 and 6580

Related Greatest Common Factor of 6580

Related Greatest Common Factor of 6587

Frequently Asked Questions on GCF of 6580 and 6587

1. What is the GCF of 6580 and 6587?

Answer: GCF of 6580 and 6587 is 7.

2. What are the Factors of 6580?

Answer: Factors of 6580 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 47, 70, 94, 140, 188, 235, 329, 470, 658, 940, 1316, 1645, 3290, 6580. There are 24 integers that are factors of 6580. The greatest factor of 6580 is 6580.

3. What are the Factors of 6587?

Answer: Factors of 6587 are 1, 7, 941, 6587. There are 4 integers that are factors of 6587. The greatest factor of 6587 is 6587.

4. How to Find the GCF of 6580 and 6587?

Answer:

Greatest Common Factor of 6580 and 6587 = 7

Step 1: Find the prime factorization of 6580

6580 = 2 x 2 x 5 x 7 x 47

Step 2: Find the prime factorization of 6587

6587 = 7 x 941

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

GCF = 7

Step 4: Therefore, the greatest common factor of 6580 and 6587 is 7