Greatest Common Factor of 2638 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 2638, 2646 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2638 and 2646 is 2.

GCF(2638,2646) = 2

GCF of 2638 and 2646

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

GCF of:
and

Greatest Common Factor of 2638 and 2646

GCF of 2638 and 2646 is 2

Prime Factorization of 2638


2 2638
1319 1319
1

Prime factors of 2638 are 2,1319. Prime factorization of 2638 in exponential form is:

2638 = 21×13191

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 2638 and 2646 is 2

Greatest Common Factor of 2638 and 2646 by matching factors method

Factors of 2638

List of positive integer factors of 2638 that divides 2638 without a remainder.

1,2,1319,2638

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 2638 and 2646. The biggest common factor number is the GCF number.
So the greatest common factor 2638 and 2646 is 2.

Also check out the Least Common Multiple of 2638 and 2646

Properties of GCF 2638 and 2646

(i) The GCF of 2638 and 2646 is associative

GCF of 2638 and 2646 = GCF of 2646 and 2638

Related Greatest Common Factor of 2638

Related Greatest Common Factor of 2646

Frequently Asked Questions on GCF of 2638 and 2646

1. What is the GCF of 2638 and 2646?

Answer: GCF of 2638 and 2646 is 2.

2. What are the Factors of 2638?

Answer: Factors of 2638 are 1, 2, 1319, 2638. There are 4 integers that are factors of 2638. The greatest factor of 2638 is 2638.

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 2638 and 2646?

Answer:

Greatest Common Factor of 2638 and 2646 = 2

Step 1: Find the prime factorization of 2638

2638 = 2 x 1319

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

Step 4: Therefore, the greatest common factor of 2638 and 2646 is 2