Greatest Common Factor of 2646 and 2653

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 2646, 2653 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2646 and 2653 is 7.

GCF(2646,2653) = 7

GCF of 2646 and 2653

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

GCF of:
and

Greatest Common Factor of 2646 and 2653

GCF of 2646 and 2653 is 7

Prime Factorization of 2646


2 2646
3 1323
3 441
3 147
7 49
7 7
1

Prime factors of 2646 are 2,3,7. Prime factorization of 2646 in exponential form is:

2646 = 21×33×72

Prime Factorization of 2653


7 2653
379 379
1

Prime factors of 2653 are 7,379. Prime factorization of 2653 in exponential form is:

2653 = 71×3791

∴ So by taking common prime factors GCF of 2646 and 2653 is 7

Greatest Common Factor of 2646 and 2653 by matching factors method

Factors of 2646

List of positive integer factors of 2646 that divides 2646 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,49,54,63,98,126,147,189,294,378,441,882,1323,2646

Factors of 2653

List of positive integer factors of 2653 that divides 2653 without a remainder.

1,7,379,2653

Greatest Common Factor

We found the factors and prime factorization of 2646 and 2653. The biggest common factor number is the GCF number.
So the greatest common factor 2646 and 2653 is 7.

Also check out the Least Common Multiple of 2646 and 2653

Properties of GCF 2646 and 2653

(i) The GCF of 2646 and 2653 is associative

GCF of 2646 and 2653 = GCF of 2653 and 2646

Related Greatest Common Factor of 2646

Related Greatest Common Factor of 2653

Frequently Asked Questions on GCF of 2646 and 2653

1. What is the GCF of 2646 and 2653?

Answer: GCF of 2646 and 2653 is 7.

2. What are the Factors of 2646?

Answer: Factors of 2646 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 98, 126, 147, 189, 294, 378, 441, 882, 1323, 2646. There are 24 integers that are factors of 2646. The greatest factor of 2646 is 2646.

3. What are the Factors of 2653?

Answer: Factors of 2653 are 1, 7, 379, 2653. There are 4 integers that are factors of 2653. The greatest factor of 2653 is 2653.

4. How to Find the GCF of 2646 and 2653?

Answer:

Greatest Common Factor of 2646 and 2653 = 7

Step 1: Find the prime factorization of 2646

2646 = 2 x 3 x 3 x 3 x 7 x 7

Step 2: Find the prime factorization of 2653

2653 = 7 x 379

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 2646 and 2653 is 7