Greatest Common Factor of 7710 and 7715

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 7710, 7715 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7710 and 7715 is 5.

GCF(7710,7715) = 5

GCF of 7710 and 7715

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

GCF of:
and

Greatest Common Factor of 7710 and 7715

GCF of 7710 and 7715 is 5

Prime Factorization of 7710


2 7710
3 3855
5 1285
257 257
1

Prime factors of 7710 are 2,3,5,257. Prime factorization of 7710 in exponential form is:

7710 = 21×31×51×2571

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

∴ So by taking common prime factors GCF of 7710 and 7715 is 5

Greatest Common Factor of 7710 and 7715 by matching factors method

Factors of 7710

List of positive integer factors of 7710 that divides 7710 without a remainder.

1,2,3,5,6,10,15,30,257,514,771,1285,1542,2570,3855,7710

Factors of 7715

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

1,5,1543,7715

Greatest Common Factor

We found the factors and prime factorization of 7710 and 7715. The biggest common factor number is the GCF number.
So the greatest common factor 7710 and 7715 is 5.

Also check out the Least Common Multiple of 7710 and 7715

Properties of GCF 7710 and 7715

(i) The GCF of 7710 and 7715 is associative

GCF of 7710 and 7715 = GCF of 7715 and 7710

Related Greatest Common Factor of 7710

Related Greatest Common Factor of 7715

Frequently Asked Questions on GCF of 7710 and 7715

1. What is the GCF of 7710 and 7715?

Answer: GCF of 7710 and 7715 is 5.

2. What are the Factors of 7710?

Answer: Factors of 7710 are 1, 2, 3, 5, 6, 10, 15, 30, 257, 514, 771, 1285, 1542, 2570, 3855, 7710. There are 16 integers that are factors of 7710. The greatest factor of 7710 is 7710.

3. 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.

4. How to Find the GCF of 7710 and 7715?

Answer:

Greatest Common Factor of 7710 and 7715 = 5

Step 1: Find the prime factorization of 7710

7710 = 2 x 3 x 5 x 257

Step 2: Find the prime factorization of 7715

7715 = 5 x 1543

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 7710 and 7715 is 5