Greatest Common Factor of 7715 and 7720

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 7715, 7720 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7715 and 7720 is 5.

GCF(7715,7720) = 5

GCF of 7715 and 7720

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

GCF of:
and

Greatest Common Factor of 7715 and 7720

GCF of 7715 and 7720 is 5

Prime Factorization of 7715


5 7715
1543 1543
1

Prime factors of 7715 are 5,1543. Prime factorization of 7715 in exponential form is:

7715 = 51×15431

Prime Factorization of 7720


2 7720
2 3860
2 1930
5 965
193 193
1

Prime factors of 7720 are 2,5,193. Prime factorization of 7720 in exponential form is:

7720 = 23×51×1931

∴ So by taking common prime factors GCF of 7715 and 7720 is 5

Greatest Common Factor of 7715 and 7720 by matching factors method

Factors of 7715

List of positive integer factors of 7715 that divides 7715 without a remainder.

1,5,1543,7715

Factors of 7720

List of positive integer factors of 7720 that divides 7720 without a remainder.

1,2,4,5,8,10,20,40,193,386,772,965,1544,1930,3860,7720

Greatest Common Factor

We found the factors and prime factorization of 7715 and 7720. The biggest common factor number is the GCF number.
So the greatest common factor 7715 and 7720 is 5.

Also check out the Least Common Multiple of 7715 and 7720

Properties of GCF 7715 and 7720

(i) The GCF of 7715 and 7720 is associative

GCF of 7715 and 7720 = GCF of 7720 and 7715

Related Greatest Common Factor of 7715

Related Greatest Common Factor of 7720

Frequently Asked Questions on GCF of 7715 and 7720

1. What is the GCF of 7715 and 7720?

Answer: GCF of 7715 and 7720 is 5.

2. What are the Factors of 7715?

Answer: Factors of 7715 are 1, 5, 1543, 7715. There are 4 integers that are factors of 7715. The greatest factor of 7715 is 7715.

3. What are the Factors of 7720?

Answer: Factors of 7720 are 1, 2, 4, 5, 8, 10, 20, 40, 193, 386, 772, 965, 1544, 1930, 3860, 7720. There are 16 integers that are factors of 7720. The greatest factor of 7720 is 7720.

4. How to Find the GCF of 7715 and 7720?

Answer:

Greatest Common Factor of 7715 and 7720 = 5

Step 1: Find the prime factorization of 7715

7715 = 5 x 1543

Step 2: Find the prime factorization of 7720

7720 = 2 x 2 x 2 x 5 x 193

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 7715 and 7720 is 5