Greatest Common Factor of 8610 and 8617

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 8610, 8617 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8610 and 8617 is 7.

GCF(8610,8617) = 7

GCF of 8610 and 8617

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

GCF of:
and

Greatest Common Factor of 8610 and 8617

GCF of 8610 and 8617 is 7

Prime Factorization of 8610


2 8610
3 4305
5 1435
7 287
41 41
1

Prime factors of 8610 are 2,3,5,7,41. Prime factorization of 8610 in exponential form is:

8610 = 21×31×51×71×411

Prime Factorization of 8617


7 8617
1231 1231
1

Prime factors of 8617 are 7,1231. Prime factorization of 8617 in exponential form is:

8617 = 71×12311

∴ So by taking common prime factors GCF of 8610 and 8617 is 7

Greatest Common Factor of 8610 and 8617 by matching factors method

Factors of 8610

List of positive integer factors of 8610 that divides 8610 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,41,42,70,82,105,123,205,210,246,287,410,574,615,861,1230,1435,1722,2870,4305,8610

Factors of 8617

List of positive integer factors of 8617 that divides 8617 without a remainder.

1,7,1231,8617

Greatest Common Factor

We found the factors and prime factorization of 8610 and 8617. The biggest common factor number is the GCF number.
So the greatest common factor 8610 and 8617 is 7.

Also check out the Least Common Multiple of 8610 and 8617

Properties of GCF 8610 and 8617

(i) The GCF of 8610 and 8617 is associative

GCF of 8610 and 8617 = GCF of 8617 and 8610

Related Greatest Common Factor of 8610

Related Greatest Common Factor of 8617

Frequently Asked Questions on GCF of 8610 and 8617

1. What is the GCF of 8610 and 8617?

Answer: GCF of 8610 and 8617 is 7.

2. What are the Factors of 8610?

Answer: Factors of 8610 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 41, 42, 70, 82, 105, 123, 205, 210, 246, 287, 410, 574, 615, 861, 1230, 1435, 1722, 2870, 4305, 8610. There are 32 integers that are factors of 8610. The greatest factor of 8610 is 8610.

3. What are the Factors of 8617?

Answer: Factors of 8617 are 1, 7, 1231, 8617. There are 4 integers that are factors of 8617. The greatest factor of 8617 is 8617.

4. How to Find the GCF of 8610 and 8617?

Answer:

Greatest Common Factor of 8610 and 8617 = 7

Step 1: Find the prime factorization of 8610

8610 = 2 x 3 x 5 x 7 x 41

Step 2: Find the prime factorization of 8617

8617 = 7 x 1231

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

GCF = 7

Step 4: Therefore, the greatest common factor of 8610 and 8617 is 7