Greatest Common Factor of 2640 and 2646

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 2640, 2646 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2640 and 2646 is 6.

GCF(2640,2646) = 6

GCF of 2640 and 2646

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

GCF of:
and

Greatest Common Factor of 2640 and 2646

GCF of 2640 and 2646 is 6

Prime Factorization of 2640


2 2640
2 1320
2 660
2 330
3 165
5 55
11 11
1

Prime factors of 2640 are 2,3,5,11. Prime factorization of 2640 in exponential form is:

2640 = 24×31×51×111

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

∴ So by taking common prime factors GCF of 2640 and 2646 is 6

Greatest Common Factor of 2640 and 2646 by matching factors method

Factors of 2640

List of positive integer factors of 2640 that divides 2640 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,33,40,44,48,55,60,66,80,88,110,120,132,165,176,220,240,264,330,440,528,660,880,1320,2640

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

Greatest Common Factor

We found the factors and prime factorization of 2640 and 2646. The biggest common factor number is the GCF number.
So the greatest common factor 2640 and 2646 is 6.

Also check out the Least Common Multiple of 2640 and 2646

Properties of GCF 2640 and 2646

(i) The GCF of 2640 and 2646 is associative

GCF of 2640 and 2646 = GCF of 2646 and 2640

Related Greatest Common Factor of 2640

Related Greatest Common Factor of 2646

Frequently Asked Questions on GCF of 2640 and 2646

1. What is the GCF of 2640 and 2646?

Answer: GCF of 2640 and 2646 is 6.

2. What are the Factors of 2640?

Answer: Factors of 2640 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 33, 40, 44, 48, 55, 60, 66, 80, 88, 110, 120, 132, 165, 176, 220, 240, 264, 330, 440, 528, 660, 880, 1320, 2640. There are 40 integers that are factors of 2640. The greatest factor of 2640 is 2640.

3. 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.

4. How to Find the GCF of 2640 and 2646?

Answer:

Greatest Common Factor of 2640 and 2646 = 6

Step 1: Find the prime factorization of 2640

2640 = 2 x 2 x 2 x 2 x 3 x 5 x 11

Step 2: Find the prime factorization of 2646

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

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 2640 and 2646 is 6