Greatest Common Factor of 2637 and 2643

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 2637, 2643 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2637 and 2643 is 3.

GCF(2637,2643) = 3

GCF of 2637 and 2643

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

GCF of:
and

Greatest Common Factor of 2637 and 2643

GCF of 2637 and 2643 is 3

Prime Factorization of 2637


3 2637
3 879
293 293
1

Prime factors of 2637 are 3,293. Prime factorization of 2637 in exponential form is:

2637 = 32×2931

Prime Factorization of 2643


3 2643
881 881
1

Prime factors of 2643 are 3,881. Prime factorization of 2643 in exponential form is:

2643 = 31×8811

∴ So by taking common prime factors GCF of 2637 and 2643 is 3

Greatest Common Factor of 2637 and 2643 by matching factors method

Factors of 2637

List of positive integer factors of 2637 that divides 2637 without a remainder.

1,3,9,293,879,2637

Factors of 2643

List of positive integer factors of 2643 that divides 2643 without a remainder.

1,3,881,2643

Greatest Common Factor

We found the factors and prime factorization of 2637 and 2643. The biggest common factor number is the GCF number.
So the greatest common factor 2637 and 2643 is 3.

Also check out the Least Common Multiple of 2637 and 2643

Properties of GCF 2637 and 2643

(i) The GCF of 2637 and 2643 is associative

GCF of 2637 and 2643 = GCF of 2643 and 2637

Related Greatest Common Factor of 2637

Related Greatest Common Factor of 2643

Frequently Asked Questions on GCF of 2637 and 2643

1. What is the GCF of 2637 and 2643?

Answer: GCF of 2637 and 2643 is 3.

2. What are the Factors of 2637?

Answer: Factors of 2637 are 1, 3, 9, 293, 879, 2637. There are 6 integers that are factors of 2637. The greatest factor of 2637 is 2637.

3. What are the Factors of 2643?

Answer: Factors of 2643 are 1, 3, 881, 2643. There are 4 integers that are factors of 2643. The greatest factor of 2643 is 2643.

4. How to Find the GCF of 2637 and 2643?

Answer:

Greatest Common Factor of 2637 and 2643 = 3

Step 1: Find the prime factorization of 2637

2637 = 3 x 3 x 293

Step 2: Find the prime factorization of 2643

2643 = 3 x 881

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 2637 and 2643 is 3