Greatest Common Factor of 627 and 633

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 627, 633 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 627 and 633 is 3.

GCF(627,633) = 3

GCF of 627 and 633

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

GCF of:
and

Greatest Common Factor of 627 and 633

GCF of 627 and 633 is 3

Prime Factorization of 627


3 627
11 209
19 19
1

Prime factors of 627 are 3,11,19. Prime factorization of 627 in exponential form is:

627 = 31×111×191

Prime Factorization of 633


3 633
211 211
1

Prime factors of 633 are 3,211. Prime factorization of 633 in exponential form is:

633 = 31×2111

∴ So by taking common prime factors GCF of 627 and 633 is 3

Greatest Common Factor of 627 and 633 by matching factors method

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Greatest Common Factor

We found the factors and prime factorization of 627 and 633. The biggest common factor number is the GCF number.
So the greatest common factor 627 and 633 is 3.

Also check out the Least Common Multiple of 627 and 633

Properties of GCF 627 and 633

(i) The GCF of 627 and 633 is associative

GCF of 627 and 633 = GCF of 633 and 627

Related Greatest Common Factor of 627

Related Greatest Common Factor of 633

Frequently Asked Questions on GCF of 627 and 633

1. What is the GCF of 627 and 633?

Answer: GCF of 627 and 633 is 3.

2. What are the Factors of 627?

Answer: Factors of 627 are 1, 3, 11, 19, 33, 57, 209, 627. There are 8 integers that are factors of 627. The greatest factor of 627 is 627.

3. What are the Factors of 633?

Answer: Factors of 633 are 1, 3, 211, 633. There are 4 integers that are factors of 633. The greatest factor of 633 is 633.

4. How to Find the GCF of 627 and 633?

Answer:

Greatest Common Factor of 627 and 633 = 3

Step 1: Find the prime factorization of 627

627 = 3 x 11 x 19

Step 2: Find the prime factorization of 633

633 = 3 x 211

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 627 and 633 is 3