Greatest Common Factor of 8601 and 8607

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 8601, 8607 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8601 and 8607 is 3.

GCF(8601,8607) = 3

GCF of 8601 and 8607

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

GCF of:
and

Greatest Common Factor of 8601 and 8607

GCF of 8601 and 8607 is 3

Prime Factorization of 8601


3 8601
47 2867
61 61
1

Prime factors of 8601 are 3,47,61. Prime factorization of 8601 in exponential form is:

8601 = 31×471×611

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

∴ So by taking common prime factors GCF of 8601 and 8607 is 3

Greatest Common Factor of 8601 and 8607 by matching factors method

Factors of 8601

List of positive integer factors of 8601 that divides 8601 without a remainder.

1,3,47,61,141,183,2867,8601

Factors of 8607

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

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

Greatest Common Factor

We found the factors and prime factorization of 8601 and 8607. The biggest common factor number is the GCF number.
So the greatest common factor 8601 and 8607 is 3.

Also check out the Least Common Multiple of 8601 and 8607

Properties of GCF 8601 and 8607

(i) The GCF of 8601 and 8607 is associative

GCF of 8601 and 8607 = GCF of 8607 and 8601

Related Greatest Common Factor of 8601

Related Greatest Common Factor of 8607

Frequently Asked Questions on GCF of 8601 and 8607

1. What is the GCF of 8601 and 8607?

Answer: GCF of 8601 and 8607 is 3.

2. What are the Factors of 8601?

Answer: Factors of 8601 are 1, 3, 47, 61, 141, 183, 2867, 8601. There are 8 integers that are factors of 8601. The greatest factor of 8601 is 8601.

3. 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.

4. How to Find the GCF of 8601 and 8607?

Answer:

Greatest Common Factor of 8601 and 8607 = 3

Step 1: Find the prime factorization of 8601

8601 = 3 x 47 x 61

Step 2: Find the prime factorization of 8607

8607 = 3 x 19 x 151

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 8601 and 8607 is 3