Greatest Common Factor of 2574 and 2580

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 2574, 2580 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2574 and 2580 is 6.

GCF(2574,2580) = 6

GCF of 2574 and 2580

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

GCF of:
and

Greatest Common Factor of 2574 and 2580

GCF of 2574 and 2580 is 6

Prime Factorization of 2574


2 2574
3 1287
3 429
11 143
13 13
1

Prime factors of 2574 are 2,3,11,13. Prime factorization of 2574 in exponential form is:

2574 = 21×32×111×131

Prime Factorization of 2580


2 2580
2 1290
3 645
5 215
43 43
1

Prime factors of 2580 are 2,3,5,43. Prime factorization of 2580 in exponential form is:

2580 = 22×31×51×431

∴ So by taking common prime factors GCF of 2574 and 2580 is 6

Greatest Common Factor of 2574 and 2580 by matching factors method

Factors of 2574

List of positive integer factors of 2574 that divides 2574 without a remainder.

1,2,3,6,9,11,13,18,22,26,33,39,66,78,99,117,143,198,234,286,429,858,1287,2574

Factors of 2580

List of positive integer factors of 2580 that divides 2580 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,43,60,86,129,172,215,258,430,516,645,860,1290,2580

Greatest Common Factor

We found the factors and prime factorization of 2574 and 2580. The biggest common factor number is the GCF number.
So the greatest common factor 2574 and 2580 is 6.

Also check out the Least Common Multiple of 2574 and 2580

Properties of GCF 2574 and 2580

(i) The GCF of 2574 and 2580 is associative

GCF of 2574 and 2580 = GCF of 2580 and 2574

Related Greatest Common Factor of 2574

Related Greatest Common Factor of 2580

Frequently Asked Questions on GCF of 2574 and 2580

1. What is the GCF of 2574 and 2580?

Answer: GCF of 2574 and 2580 is 6.

2. What are the Factors of 2574?

Answer: Factors of 2574 are 1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 33, 39, 66, 78, 99, 117, 143, 198, 234, 286, 429, 858, 1287, 2574. There are 24 integers that are factors of 2574. The greatest factor of 2574 is 2574.

3. What are the Factors of 2580?

Answer: Factors of 2580 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 43, 60, 86, 129, 172, 215, 258, 430, 516, 645, 860, 1290, 2580. There are 24 integers that are factors of 2580. The greatest factor of 2580 is 2580.

4. How to Find the GCF of 2574 and 2580?

Answer:

Greatest Common Factor of 2574 and 2580 = 6

Step 1: Find the prime factorization of 2574

2574 = 2 x 3 x 3 x 11 x 13

Step 2: Find the prime factorization of 2580

2580 = 2 x 2 x 3 x 5 x 43

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 2574 and 2580 is 6