Greatest Common Factor of 7623 and 7630

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 7623, 7630 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7623 and 7630 is 7.

GCF(7623,7630) = 7

GCF of 7623 and 7630

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

GCF of:
and

Greatest Common Factor of 7623 and 7630

GCF of 7623 and 7630 is 7

Prime Factorization of 7623


3 7623
3 2541
7 847
11 121
11 11
1

Prime factors of 7623 are 3,7,11. Prime factorization of 7623 in exponential form is:

7623 = 32×71×112

Prime Factorization of 7630


2 7630
5 3815
7 763
109 109
1

Prime factors of 7630 are 2,5,7,109. Prime factorization of 7630 in exponential form is:

7630 = 21×51×71×1091

∴ So by taking common prime factors GCF of 7623 and 7630 is 7

Greatest Common Factor of 7623 and 7630 by matching factors method

Factors of 7623

List of positive integer factors of 7623 that divides 7623 without a remainder.

1,3,7,9,11,21,33,63,77,99,121,231,363,693,847,1089,2541,7623

Factors of 7630

List of positive integer factors of 7630 that divides 7630 without a remainder.

1,2,5,7,10,14,35,70,109,218,545,763,1090,1526,3815,7630

Greatest Common Factor

We found the factors and prime factorization of 7623 and 7630. The biggest common factor number is the GCF number.
So the greatest common factor 7623 and 7630 is 7.

Also check out the Least Common Multiple of 7623 and 7630

Properties of GCF 7623 and 7630

(i) The GCF of 7623 and 7630 is associative

GCF of 7623 and 7630 = GCF of 7630 and 7623

Related Greatest Common Factor of 7623

Related Greatest Common Factor of 7630

Frequently Asked Questions on GCF of 7623 and 7630

1. What is the GCF of 7623 and 7630?

Answer: GCF of 7623 and 7630 is 7.

2. What are the Factors of 7623?

Answer: Factors of 7623 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 121, 231, 363, 693, 847, 1089, 2541, 7623. There are 18 integers that are factors of 7623. The greatest factor of 7623 is 7623.

3. What are the Factors of 7630?

Answer: Factors of 7630 are 1, 2, 5, 7, 10, 14, 35, 70, 109, 218, 545, 763, 1090, 1526, 3815, 7630. There are 16 integers that are factors of 7630. The greatest factor of 7630 is 7630.

4. How to Find the GCF of 7623 and 7630?

Answer:

Greatest Common Factor of 7623 and 7630 = 7

Step 1: Find the prime factorization of 7623

7623 = 3 x 3 x 7 x 11 x 11

Step 2: Find the prime factorization of 7630

7630 = 2 x 5 x 7 x 109

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 7623 and 7630 is 7