Greatest Common Factor of 2627 and 2633

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 2627, 2633 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2627 and 2633 is 1.

GCF(2627,2633) = 1

GCF of 2627 and 2633

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

GCF of:
and

Greatest Common Factor of 2627 and 2633

GCF of 2627 and 2633 is 1

Prime Factorization of 2627


37 2627
71 71
1

Prime factors of 2627 are 37,71. Prime factorization of 2627 in exponential form is:

2627 = 371×711

Prime Factorization of 2633


2633 2633
1

Prime factors of 2633 are 2633. Prime factorization of 2633 in exponential form is:

2633 = 26331

∴ So by taking common prime factors GCF of 2627 and 2633 is 1

Greatest Common Factor of 2627 and 2633 by matching factors method

Factors of 2627

List of positive integer factors of 2627 that divides 2627 without a remainder.

1,37,71,2627

Factors of 2633

List of positive integer factors of 2633 that divides 2633 without a remainder.

1,2633

Greatest Common Factor

We found the factors and prime factorization of 2627 and 2633. The biggest common factor number is the GCF number.
So the greatest common factor 2627 and 2633 is 1.

Also check out the Least Common Multiple of 2627 and 2633

Properties of GCF 2627 and 2633

(i) The GCF of 2627 and 2633 is associative

GCF of 2627 and 2633 = GCF of 2633 and 2627

Related Greatest Common Factor of 2627

Related Greatest Common Factor of 2633

Frequently Asked Questions on GCF of 2627 and 2633

1. What is the GCF of 2627 and 2633?

Answer: GCF of 2627 and 2633 is 1.

2. What are the Factors of 2627?

Answer: Factors of 2627 are 1, 37, 71, 2627. There are 4 integers that are factors of 2627. The greatest factor of 2627 is 2627.

3. What are the Factors of 2633?

Answer: Factors of 2633 are 1, 2633. There are 2 integers that are factors of 2633. The greatest factor of 2633 is 2633.

4. How to Find the GCF of 2627 and 2633?

Answer:

Greatest Common Factor of 2627 and 2633 = 1

Step 1: Find the prime factorization of 2627

2627 = 37 x 71

Step 2: Find the prime factorization of 2633

2633 = 2633

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 2627 and 2633 is 1