Greatest Common Factor of 7630 and 7636

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 7630, 7636 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7630 and 7636 is 2.

GCF(7630,7636) = 2

GCF of 7630 and 7636

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

GCF of:
and

Greatest Common Factor of 7630 and 7636

GCF of 7630 and 7636 is 2

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

Prime Factorization of 7636


2 7636
2 3818
23 1909
83 83
1

Prime factors of 7636 are 2,23,83. Prime factorization of 7636 in exponential form is:

7636 = 22×231×831

∴ So by taking common prime factors GCF of 7630 and 7636 is 2

Greatest Common Factor of 7630 and 7636 by matching factors method

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

Factors of 7636

List of positive integer factors of 7636 that divides 7636 without a remainder.

1,2,4,23,46,83,92,166,332,1909,3818,7636

Greatest Common Factor

We found the factors and prime factorization of 7630 and 7636. The biggest common factor number is the GCF number.
So the greatest common factor 7630 and 7636 is 2.

Also check out the Least Common Multiple of 7630 and 7636

Properties of GCF 7630 and 7636

(i) The GCF of 7630 and 7636 is associative

GCF of 7630 and 7636 = GCF of 7636 and 7630

Related Greatest Common Factor of 7630

Related Greatest Common Factor of 7636

Frequently Asked Questions on GCF of 7630 and 7636

1. What is the GCF of 7630 and 7636?

Answer: GCF of 7630 and 7636 is 2.

2. 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.

3. What are the Factors of 7636?

Answer: Factors of 7636 are 1, 2, 4, 23, 46, 83, 92, 166, 332, 1909, 3818, 7636. There are 12 integers that are factors of 7636. The greatest factor of 7636 is 7636.

4. How to Find the GCF of 7630 and 7636?

Answer:

Greatest Common Factor of 7630 and 7636 = 2

Step 1: Find the prime factorization of 7630

7630 = 2 x 5 x 7 x 109

Step 2: Find the prime factorization of 7636

7636 = 2 x 2 x 23 x 83

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 7630 and 7636 is 2