Greatest Common Factor of 7617 and 7623

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 7617, 7623 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7617 and 7623 is 3.

GCF(7617,7623) = 3

GCF of 7617 and 7623

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

GCF of:
and

Greatest Common Factor of 7617 and 7623

GCF of 7617 and 7623 is 3

Prime Factorization of 7617


3 7617
2539 2539
1

Prime factors of 7617 are 3,2539. Prime factorization of 7617 in exponential form is:

7617 = 31×25391

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

∴ So by taking common prime factors GCF of 7617 and 7623 is 3

Greatest Common Factor of 7617 and 7623 by matching factors method

Factors of 7617

List of positive integer factors of 7617 that divides 7617 without a remainder.

1,3,2539,7617

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

Greatest Common Factor

We found the factors and prime factorization of 7617 and 7623. The biggest common factor number is the GCF number.
So the greatest common factor 7617 and 7623 is 3.

Also check out the Least Common Multiple of 7617 and 7623

Properties of GCF 7617 and 7623

(i) The GCF of 7617 and 7623 is associative

GCF of 7617 and 7623 = GCF of 7623 and 7617

Related Greatest Common Factor of 7617

Related Greatest Common Factor of 7623

Frequently Asked Questions on GCF of 7617 and 7623

1. What is the GCF of 7617 and 7623?

Answer: GCF of 7617 and 7623 is 3.

2. What are the Factors of 7617?

Answer: Factors of 7617 are 1, 3, 2539, 7617. There are 4 integers that are factors of 7617. The greatest factor of 7617 is 7617.

3. 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.

4. How to Find the GCF of 7617 and 7623?

Answer:

Greatest Common Factor of 7617 and 7623 = 3

Step 1: Find the prime factorization of 7617

7617 = 3 x 2539

Step 2: Find the prime factorization of 7623

7623 = 3 x 3 x 7 x 11 x 11

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 7617 and 7623 is 3