Greatest Common Factor of 2638 and 2642

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, 2642 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2638 and 2642 is 2.

GCF(2638,2642) = 2

GCF of 2638 and 2642

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

GCF of:
and

Greatest Common Factor of 2638 and 2642

GCF of 2638 and 2642 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 2642


2 2642
1321 1321
1

Prime factors of 2642 are 2,1321. Prime factorization of 2642 in exponential form is:

2642 = 21×13211

∴ So by taking common prime factors GCF of 2638 and 2642 is 2

Greatest Common Factor of 2638 and 2642 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 2642

List of positive integer factors of 2642 that divides 2642 without a remainder.

1,2,1321,2642

Greatest Common Factor

We found the factors and prime factorization of 2638 and 2642. The biggest common factor number is the GCF number.
So the greatest common factor 2638 and 2642 is 2.

Also check out the Least Common Multiple of 2638 and 2642

Properties of GCF 2638 and 2642

(i) The GCF of 2638 and 2642 is associative

GCF of 2638 and 2642 = GCF of 2642 and 2638

Related Greatest Common Factor of 2638

Related Greatest Common Factor of 2642

Frequently Asked Questions on GCF of 2638 and 2642

1. What is the GCF of 2638 and 2642?

Answer: GCF of 2638 and 2642 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 2642?

Answer: Factors of 2642 are 1, 2, 1321, 2642. There are 4 integers that are factors of 2642. The greatest factor of 2642 is 2642.

4. How to Find the GCF of 2638 and 2642?

Answer:

Greatest Common Factor of 2638 and 2642 = 2

Step 1: Find the prime factorization of 2638

2638 = 2 x 1319

Step 2: Find the prime factorization of 2642

2642 = 2 x 1321

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 2642 is 2