Greatest Common Factor of 2646 and 2649

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, 2649 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2646 and 2649 is 3.

GCF(2646,2649) = 3

GCF of 2646 and 2649

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

GCF of:
and

Greatest Common Factor of 2646 and 2649

GCF of 2646 and 2649 is 3

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 2649


3 2649
883 883
1

Prime factors of 2649 are 3,883. Prime factorization of 2649 in exponential form is:

2649 = 31×8831

∴ So by taking common prime factors GCF of 2646 and 2649 is 3

Greatest Common Factor of 2646 and 2649 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 2649

List of positive integer factors of 2649 that divides 2649 without a remainder.

1,3,883,2649

Greatest Common Factor

We found the factors and prime factorization of 2646 and 2649. The biggest common factor number is the GCF number.
So the greatest common factor 2646 and 2649 is 3.

Also check out the Least Common Multiple of 2646 and 2649

Properties of GCF 2646 and 2649

(i) The GCF of 2646 and 2649 is associative

GCF of 2646 and 2649 = GCF of 2649 and 2646

Related Greatest Common Factor of 2646

Related Greatest Common Factor of 2649

Frequently Asked Questions on GCF of 2646 and 2649

1. What is the GCF of 2646 and 2649?

Answer: GCF of 2646 and 2649 is 3.

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 2649?

Answer: Factors of 2649 are 1, 3, 883, 2649. There are 4 integers that are factors of 2649. The greatest factor of 2649 is 2649.

4. How to Find the GCF of 2646 and 2649?

Answer:

Greatest Common Factor of 2646 and 2649 = 3

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 2649

2649 = 3 x 883

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

GCF = 3

Step 4: Therefore, the greatest common factor of 2646 and 2649 is 3