Greatest Common Factor of 8607 and 8613

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 8607, 8613 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8607 and 8613 is 3.

GCF(8607,8613) = 3

GCF of 8607 and 8613

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

GCF of:
and

Greatest Common Factor of 8607 and 8613

GCF of 8607 and 8613 is 3

Prime Factorization of 8607


3 8607
19 2869
151 151
1

Prime factors of 8607 are 3,19,151. Prime factorization of 8607 in exponential form is:

8607 = 31×191×1511

Prime Factorization of 8613


3 8613
3 2871
3 957
11 319
29 29
1

Prime factors of 8613 are 3,11,29. Prime factorization of 8613 in exponential form is:

8613 = 33×111×291

∴ So by taking common prime factors GCF of 8607 and 8613 is 3

Greatest Common Factor of 8607 and 8613 by matching factors method

Factors of 8607

List of positive integer factors of 8607 that divides 8607 without a remainder.

1,3,19,57,151,453,2869,8607

Factors of 8613

List of positive integer factors of 8613 that divides 8613 without a remainder.

1,3,9,11,27,29,33,87,99,261,297,319,783,957,2871,8613

Greatest Common Factor

We found the factors and prime factorization of 8607 and 8613. The biggest common factor number is the GCF number.
So the greatest common factor 8607 and 8613 is 3.

Also check out the Least Common Multiple of 8607 and 8613

Properties of GCF 8607 and 8613

(i) The GCF of 8607 and 8613 is associative

GCF of 8607 and 8613 = GCF of 8613 and 8607

Related Greatest Common Factor of 8607

Related Greatest Common Factor of 8613

Frequently Asked Questions on GCF of 8607 and 8613

1. What is the GCF of 8607 and 8613?

Answer: GCF of 8607 and 8613 is 3.

2. What are the Factors of 8607?

Answer: Factors of 8607 are 1, 3, 19, 57, 151, 453, 2869, 8607. There are 8 integers that are factors of 8607. The greatest factor of 8607 is 8607.

3. What are the Factors of 8613?

Answer: Factors of 8613 are 1, 3, 9, 11, 27, 29, 33, 87, 99, 261, 297, 319, 783, 957, 2871, 8613. There are 16 integers that are factors of 8613. The greatest factor of 8613 is 8613.

4. How to Find the GCF of 8607 and 8613?

Answer:

Greatest Common Factor of 8607 and 8613 = 3

Step 1: Find the prime factorization of 8607

8607 = 3 x 19 x 151

Step 2: Find the prime factorization of 8613

8613 = 3 x 3 x 3 x 11 x 29

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8607 and 8613 is 3