Greatest Common Factor of 909 and 915

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 909, 915 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 909 and 915 is 3.

GCF(909,915) = 3

GCF of 909 and 915

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

GCF of:
and

Greatest Common Factor of 909 and 915

GCF of 909 and 915 is 3

Prime Factorization of 909


3 909
3 303
101 101
1

Prime factors of 909 are 3,101. Prime factorization of 909 in exponential form is:

909 = 32×1011

Prime Factorization of 915


3 915
5 305
61 61
1

Prime factors of 915 are 3,5,61. Prime factorization of 915 in exponential form is:

915 = 31×51×611

∴ So by taking common prime factors GCF of 909 and 915 is 3

Greatest Common Factor of 909 and 915 by matching factors method

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors and prime factorization of 909 and 915. The biggest common factor number is the GCF number.
So the greatest common factor 909 and 915 is 3.

Also check out the Least Common Multiple of 909 and 915

Properties of GCF 909 and 915

(i) The GCF of 909 and 915 is associative

GCF of 909 and 915 = GCF of 915 and 909

Related Greatest Common Factor of 909

Related Greatest Common Factor of 915

Frequently Asked Questions on GCF of 909 and 915

1. What is the GCF of 909 and 915?

Answer: GCF of 909 and 915 is 3.

2. What are the Factors of 909?

Answer: Factors of 909 are 1, 3, 9, 101, 303, 909. There are 6 integers that are factors of 909. The greatest factor of 909 is 909.

3. What are the Factors of 915?

Answer: Factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915. There are 8 integers that are factors of 915. The greatest factor of 915 is 915.

4. How to Find the GCF of 909 and 915?

Answer:

Greatest Common Factor of 909 and 915 = 3

Step 1: Find the prime factorization of 909

909 = 3 x 3 x 101

Step 2: Find the prime factorization of 915

915 = 3 x 5 x 61

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 909 and 915 is 3