Greatest Common Factor of 8604 and 8610

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 8604, 8610 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8604 and 8610 is 6.

GCF(8604,8610) = 6

GCF of 8604 and 8610

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

GCF of:
and

Greatest Common Factor of 8604 and 8610

GCF of 8604 and 8610 is 6

Prime Factorization of 8604


2 8604
2 4302
3 2151
3 717
239 239
1

Prime factors of 8604 are 2,3,239. Prime factorization of 8604 in exponential form is:

8604 = 22×32×2391

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

∴ So by taking common prime factors GCF of 8604 and 8610 is 6

Greatest Common Factor of 8604 and 8610 by matching factors method

Factors of 8604

List of positive integer factors of 8604 that divides 8604 without a remainder.

1,2,3,4,6,9,12,18,36,239,478,717,956,1434,2151,2868,4302,8604

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

Greatest Common Factor

We found the factors and prime factorization of 8604 and 8610. The biggest common factor number is the GCF number.
So the greatest common factor 8604 and 8610 is 6.

Also check out the Least Common Multiple of 8604 and 8610

Properties of GCF 8604 and 8610

(i) The GCF of 8604 and 8610 is associative

GCF of 8604 and 8610 = GCF of 8610 and 8604

Related Greatest Common Factor of 8604

Related Greatest Common Factor of 8610

Frequently Asked Questions on GCF of 8604 and 8610

1. What is the GCF of 8604 and 8610?

Answer: GCF of 8604 and 8610 is 6.

2. What are the Factors of 8604?

Answer: Factors of 8604 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 239, 478, 717, 956, 1434, 2151, 2868, 4302, 8604. There are 18 integers that are factors of 8604. The greatest factor of 8604 is 8604.

3. 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.

4. How to Find the GCF of 8604 and 8610?

Answer:

Greatest Common Factor of 8604 and 8610 = 6

Step 1: Find the prime factorization of 8604

8604 = 2 x 2 x 3 x 3 x 239

Step 2: Find the prime factorization of 8610

8610 = 2 x 3 x 5 x 7 x 41

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 8604 and 8610 is 6