Greatest Common Factor of 8907 and 8913

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 8907, 8913 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8907 and 8913 is 3.

GCF(8907,8913) = 3

GCF of 8907 and 8913

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

GCF of:
and

Greatest Common Factor of 8907 and 8913

GCF of 8907 and 8913 is 3

Prime Factorization of 8907


3 8907
2969 2969
1

Prime factors of 8907 are 3,2969. Prime factorization of 8907 in exponential form is:

8907 = 31×29691

Prime Factorization of 8913


3 8913
2971 2971
1

Prime factors of 8913 are 3,2971. Prime factorization of 8913 in exponential form is:

8913 = 31×29711

∴ So by taking common prime factors GCF of 8907 and 8913 is 3

Greatest Common Factor of 8907 and 8913 by matching factors method

Factors of 8907

List of positive integer factors of 8907 that divides 8907 without a remainder.

1,3,2969,8907

Factors of 8913

List of positive integer factors of 8913 that divides 8913 without a remainder.

1,3,2971,8913

Greatest Common Factor

We found the factors and prime factorization of 8907 and 8913. The biggest common factor number is the GCF number.
So the greatest common factor 8907 and 8913 is 3.

Also check out the Least Common Multiple of 8907 and 8913

Properties of GCF 8907 and 8913

(i) The GCF of 8907 and 8913 is associative

GCF of 8907 and 8913 = GCF of 8913 and 8907

Related Greatest Common Factor of 8907

Related Greatest Common Factor of 8913

Frequently Asked Questions on GCF of 8907 and 8913

1. What is the GCF of 8907 and 8913?

Answer: GCF of 8907 and 8913 is 3.

2. What are the Factors of 8907?

Answer: Factors of 8907 are 1, 3, 2969, 8907. There are 4 integers that are factors of 8907. The greatest factor of 8907 is 8907.

3. What are the Factors of 8913?

Answer: Factors of 8913 are 1, 3, 2971, 8913. There are 4 integers that are factors of 8913. The greatest factor of 8913 is 8913.

4. How to Find the GCF of 8907 and 8913?

Answer:

Greatest Common Factor of 8907 and 8913 = 3

Step 1: Find the prime factorization of 8907

8907 = 3 x 2969

Step 2: Find the prime factorization of 8913

8913 = 3 x 2971

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 8907 and 8913 is 3