Greatest Common Factor of 622 and 630

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 622, 630 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 622 and 630 is 2.

GCF(622,630) = 2

GCF of 622 and 630

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

GCF of:
and

Greatest Common Factor of 622 and 630

GCF of 622 and 630 is 2

Prime Factorization of 622


2 622
311 311
1

Prime factors of 622 are 2,311. Prime factorization of 622 in exponential form is:

622 = 21×3111

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

∴ So by taking common prime factors GCF of 622 and 630 is 2

Greatest Common Factor of 622 and 630 by matching factors method

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

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

Greatest Common Factor

We found the factors and prime factorization of 622 and 630. The biggest common factor number is the GCF number.
So the greatest common factor 622 and 630 is 2.

Also check out the Least Common Multiple of 622 and 630

Properties of GCF 622 and 630

(i) The GCF of 622 and 630 is associative

GCF of 622 and 630 = GCF of 630 and 622

Related Greatest Common Factor of 622

Related Greatest Common Factor of 630

Frequently Asked Questions on GCF of 622 and 630

1. What is the GCF of 622 and 630?

Answer: GCF of 622 and 630 is 2.

2. What are the Factors of 622?

Answer: Factors of 622 are 1, 2, 311, 622. There are 4 integers that are factors of 622. The greatest factor of 622 is 622.

3. 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.

4. How to Find the GCF of 622 and 630?

Answer:

Greatest Common Factor of 622 and 630 = 2

Step 1: Find the prime factorization of 622

622 = 2 x 311

Step 2: Find the prime factorization of 630

630 = 2 x 3 x 3 x 5 x 7

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 622 and 630 is 2