Greatest Common Factor of 2652 and 2658

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 2652, 2658 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2652 and 2658 is 6.

GCF(2652,2658) = 6

GCF of 2652 and 2658

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

GCF of:
and

Greatest Common Factor of 2652 and 2658

GCF of 2652 and 2658 is 6

Prime Factorization of 2652


2 2652
2 1326
3 663
13 221
17 17
1

Prime factors of 2652 are 2,3,13,17. Prime factorization of 2652 in exponential form is:

2652 = 22×31×131×171

Prime Factorization of 2658


2 2658
3 1329
443 443
1

Prime factors of 2658 are 2,3,443. Prime factorization of 2658 in exponential form is:

2658 = 21×31×4431

∴ So by taking common prime factors GCF of 2652 and 2658 is 6

Greatest Common Factor of 2652 and 2658 by matching factors method

Factors of 2652

List of positive integer factors of 2652 that divides 2652 without a remainder.

1,2,3,4,6,12,13,17,26,34,39,51,52,68,78,102,156,204,221,442,663,884,1326,2652

Factors of 2658

List of positive integer factors of 2658 that divides 2658 without a remainder.

1,2,3,6,443,886,1329,2658

Greatest Common Factor

We found the factors and prime factorization of 2652 and 2658. The biggest common factor number is the GCF number.
So the greatest common factor 2652 and 2658 is 6.

Also check out the Least Common Multiple of 2652 and 2658

Properties of GCF 2652 and 2658

(i) The GCF of 2652 and 2658 is associative

GCF of 2652 and 2658 = GCF of 2658 and 2652

Related Greatest Common Factor of 2652

Related Greatest Common Factor of 2658

Frequently Asked Questions on GCF of 2652 and 2658

1. What is the GCF of 2652 and 2658?

Answer: GCF of 2652 and 2658 is 6.

2. What are the Factors of 2652?

Answer: Factors of 2652 are 1, 2, 3, 4, 6, 12, 13, 17, 26, 34, 39, 51, 52, 68, 78, 102, 156, 204, 221, 442, 663, 884, 1326, 2652. There are 24 integers that are factors of 2652. The greatest factor of 2652 is 2652.

3. What are the Factors of 2658?

Answer: Factors of 2658 are 1, 2, 3, 6, 443, 886, 1329, 2658. There are 8 integers that are factors of 2658. The greatest factor of 2658 is 2658.

4. How to Find the GCF of 2652 and 2658?

Answer:

Greatest Common Factor of 2652 and 2658 = 6

Step 1: Find the prime factorization of 2652

2652 = 2 x 2 x 3 x 13 x 17

Step 2: Find the prime factorization of 2658

2658 = 2 x 3 x 443

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 2652 and 2658 is 6