Greatest Common Factor of 909 and 914

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

Greatest common factor (GCF) of 909 and 914 is 1.

GCF(909,914) = 1

GCF of 909 and 914

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

GCF of:
and

Greatest Common Factor of 909 and 914

GCF of 909 and 914 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 914


2 914
457 457
1

Prime factors of 914 are 2,457. Prime factorization of 914 in exponential form is:

914 = 21×4571

∴ So by taking common prime factors GCF of 909 and 914 is 1

Greatest Common Factor of 909 and 914 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 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors and prime factorization of 909 and 914. The biggest common factor number is the GCF number.
So the greatest common factor 909 and 914 is 1.

Also check out the Least Common Multiple of 909 and 914

Properties of GCF 909 and 914

(i) The GCF of 909 and 914 is associative

GCF of 909 and 914 = GCF of 914 and 909

Related Greatest Common Factor of 909

Related Greatest Common Factor of 914

Frequently Asked Questions on GCF of 909 and 914

1. What is the GCF of 909 and 914?

Answer: GCF of 909 and 914 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 914?

Answer: Factors of 914 are 1, 2, 457, 914. There are 4 integers that are factors of 914. The greatest factor of 914 is 914.

4. How to Find the GCF of 909 and 914?

Answer:

Greatest Common Factor of 909 and 914 = 1

Step 1: Find the prime factorization of 909

909 = 3 x 3 x 101

Step 2: Find the prime factorization of 914

914 = 2 x 457

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 914 is 1