Greatest Common Factor of 623 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 623, 630 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 623 and 630 is 7.

GCF(623,630) = 7

GCF of 623 and 630

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

GCF of:
and

Greatest Common Factor of 623 and 630

GCF of 623 and 630 is 7

Prime Factorization of 623


7 623
89 89
1

Prime factors of 623 are 7,89. Prime factorization of 623 in exponential form is:

623 = 71×891

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 623 and 630 is 7

Greatest Common Factor of 623 and 630 by matching factors method

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

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 623 and 630. The biggest common factor number is the GCF number.
So the greatest common factor 623 and 630 is 7.

Also check out the Least Common Multiple of 623 and 630

Properties of GCF 623 and 630

(i) The GCF of 623 and 630 is associative

GCF of 623 and 630 = GCF of 630 and 623

Related Greatest Common Factor of 623

Related Greatest Common Factor of 630

Frequently Asked Questions on GCF of 623 and 630

1. What is the GCF of 623 and 630?

Answer: GCF of 623 and 630 is 7.

2. What are the Factors of 623?

Answer: Factors of 623 are 1, 7, 89, 623. There are 4 integers that are factors of 623. The greatest factor of 623 is 623.

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 623 and 630?

Answer:

Greatest Common Factor of 623 and 630 = 7

Step 1: Find the prime factorization of 623

623 = 7 x 89

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 = 7

Step 4: Therefore, the greatest common factor of 623 and 630 is 7