Greatest Common Factor of 7655 and 7660

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 7655, 7660 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7655 and 7660 is 5.

GCF(7655,7660) = 5

GCF of 7655 and 7660

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

GCF of:
and

Greatest Common Factor of 7655 and 7660

GCF of 7655 and 7660 is 5

Prime Factorization of 7655


5 7655
1531 1531
1

Prime factors of 7655 are 5,1531. Prime factorization of 7655 in exponential form is:

7655 = 51×15311

Prime Factorization of 7660


2 7660
2 3830
5 1915
383 383
1

Prime factors of 7660 are 2,5,383. Prime factorization of 7660 in exponential form is:

7660 = 22×51×3831

∴ So by taking common prime factors GCF of 7655 and 7660 is 5

Greatest Common Factor of 7655 and 7660 by matching factors method

Factors of 7655

List of positive integer factors of 7655 that divides 7655 without a remainder.

1,5,1531,7655

Factors of 7660

List of positive integer factors of 7660 that divides 7660 without a remainder.

1,2,4,5,10,20,383,766,1532,1915,3830,7660

Greatest Common Factor

We found the factors and prime factorization of 7655 and 7660. The biggest common factor number is the GCF number.
So the greatest common factor 7655 and 7660 is 5.

Also check out the Least Common Multiple of 7655 and 7660

Properties of GCF 7655 and 7660

(i) The GCF of 7655 and 7660 is associative

GCF of 7655 and 7660 = GCF of 7660 and 7655

Related Greatest Common Factor of 7655

Related Greatest Common Factor of 7660

Frequently Asked Questions on GCF of 7655 and 7660

1. What is the GCF of 7655 and 7660?

Answer: GCF of 7655 and 7660 is 5.

2. What are the Factors of 7655?

Answer: Factors of 7655 are 1, 5, 1531, 7655. There are 4 integers that are factors of 7655. The greatest factor of 7655 is 7655.

3. What are the Factors of 7660?

Answer: Factors of 7660 are 1, 2, 4, 5, 10, 20, 383, 766, 1532, 1915, 3830, 7660. There are 12 integers that are factors of 7660. The greatest factor of 7660 is 7660.

4. How to Find the GCF of 7655 and 7660?

Answer:

Greatest Common Factor of 7655 and 7660 = 5

Step 1: Find the prime factorization of 7655

7655 = 5 x 1531

Step 2: Find the prime factorization of 7660

7660 = 2 x 2 x 5 x 383

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

GCF = 5

Step 4: Therefore, the greatest common factor of 7655 and 7660 is 5