Greatest Common Factor of 917 and 919

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 917, 919 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 917 and 919 is 1.

GCF(917,919) = 1

GCF of 917 and 919

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

GCF of:
and

Greatest Common Factor of 917 and 919

GCF of 917 and 919 is 1

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

Prime Factorization of 919


919 919
1

Prime factors of 919 are 919. Prime factorization of 919 in exponential form is:

919 = 9191

∴ So by taking common prime factors GCF of 917 and 919 is 1

Greatest Common Factor of 917 and 919 by matching factors method

Factors of 917

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

1,7,131,917

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Greatest Common Factor

We found the factors and prime factorization of 917 and 919. The biggest common factor number is the GCF number.
So the greatest common factor 917 and 919 is 1.

Also check out the Least Common Multiple of 917 and 919

Properties of GCF 917 and 919

(i) The GCF of 917 and 919 is associative

GCF of 917 and 919 = GCF of 919 and 917

Related Greatest Common Factor of 917

Related Greatest Common Factor of 919

Frequently Asked Questions on GCF of 917 and 919

1. What is the GCF of 917 and 919?

Answer: GCF of 917 and 919 is 1.

2. 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.

3. What are the Factors of 919?

Answer: Factors of 919 are 1, 919. There are 2 integers that are factors of 919. The greatest factor of 919 is 919.

4. How to Find the GCF of 917 and 919?

Answer:

Greatest Common Factor of 917 and 919 = 1

Step 1: Find the prime factorization of 917

917 = 7 x 131

Step 2: Find the prime factorization of 919

919 = 919

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 917 and 919 is 1