Greatest Common Factor of 630 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 630, 633 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 630 and 633 is 3.

GCF(630,633) = 3

GCF of 630 and 633

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

GCF of:
and

Greatest Common Factor of 630 and 633

GCF of 630 and 633 is 3

Prime Factorization of 630


2 630
3 315
3 105
5 35
7 7
1

Prime factors of 630 are 2,3,5,7. Prime factorization of 630 in exponential form is:

630 = 21×32×51×71

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 630 and 633 is 3

Greatest Common Factor of 630 and 633 by matching factors method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

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 630 and 633. The biggest common factor number is the GCF number.
So the greatest common factor 630 and 633 is 3.

Also check out the Least Common Multiple of 630 and 633

Properties of GCF 630 and 633

(i) The GCF of 630 and 633 is associative

GCF of 630 and 633 = GCF of 633 and 630

Related Greatest Common Factor of 630

Related Greatest Common Factor of 633

Frequently Asked Questions on GCF of 630 and 633

1. What is the GCF of 630 and 633?

Answer: GCF of 630 and 633 is 3.

2. What are the Factors of 630?

Answer: Factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630. There are 24 integers that are factors of 630. The greatest factor of 630 is 630.

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 630 and 633?

Answer:

Greatest Common Factor of 630 and 633 = 3

Step 1: Find the prime factorization of 630

630 = 2 x 3 x 3 x 5 x 7

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 630 and 633 is 3