Greatest Common Factor of 909 and 917

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, 917 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 909 and 917 is 1.

GCF(909,917) = 1

GCF of 909 and 917

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

GCF of:
and

Greatest Common Factor of 909 and 917

GCF of 909 and 917 is 1

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 917


7 917
131 131
1

Prime factors of 917 are 7,131. Prime factorization of 917 in exponential form is:

917 = 71×1311

∴ So by taking common prime factors GCF of 909 and 917 is 1

Greatest Common Factor of 909 and 917 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 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors and prime factorization of 909 and 917. The biggest common factor number is the GCF number.
So the greatest common factor 909 and 917 is 1.

Also check out the Least Common Multiple of 909 and 917

Properties of GCF 909 and 917

(i) The GCF of 909 and 917 is associative

GCF of 909 and 917 = GCF of 917 and 909

Related Greatest Common Factor of 909

Related Greatest Common Factor of 917

Frequently Asked Questions on GCF of 909 and 917

1. What is the GCF of 909 and 917?

Answer: GCF of 909 and 917 is 1.

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 917?

Answer: Factors of 917 are 1, 7, 131, 917. There are 4 integers that are factors of 917. The greatest factor of 917 is 917.

4. How to Find the GCF of 909 and 917?

Answer:

Greatest Common Factor of 909 and 917 = 1

Step 1: Find the prime factorization of 909

909 = 3 x 3 x 101

Step 2: Find the prime factorization of 917

917 = 7 x 131

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 909 and 917 is 1