Greatest Common Factor of 7623 and 7627

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, 7627 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7623 and 7627 is 1.

GCF(7623,7627) = 1

GCF of 7623 and 7627

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

GCF of:
and

Greatest Common Factor of 7623 and 7627

GCF of 7623 and 7627 is 1

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 7627


29 7627
263 263
1

Prime factors of 7627 are 29,263. Prime factorization of 7627 in exponential form is:

7627 = 291×2631

∴ So by taking common prime factors GCF of 7623 and 7627 is 1

Greatest Common Factor of 7623 and 7627 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 7627

List of positive integer factors of 7627 that divides 7627 without a remainder.

1,29,263,7627

Greatest Common Factor

We found the factors and prime factorization of 7623 and 7627. The biggest common factor number is the GCF number.
So the greatest common factor 7623 and 7627 is 1.

Also check out the Least Common Multiple of 7623 and 7627

Properties of GCF 7623 and 7627

(i) The GCF of 7623 and 7627 is associative

GCF of 7623 and 7627 = GCF of 7627 and 7623

Related Greatest Common Factor of 7623

Related Greatest Common Factor of 7627

Frequently Asked Questions on GCF of 7623 and 7627

1. What is the GCF of 7623 and 7627?

Answer: GCF of 7623 and 7627 is 1.

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 7627?

Answer: Factors of 7627 are 1, 29, 263, 7627. There are 4 integers that are factors of 7627. The greatest factor of 7627 is 7627.

4. How to Find the GCF of 7623 and 7627?

Answer:

Greatest Common Factor of 7623 and 7627 = 1

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 7627

7627 = 29 x 263

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 7623 and 7627 is 1