Greatest Common Factor of 917 and 924

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, 924 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 917 and 924 is 7.

GCF(917,924) = 7

GCF of 917 and 924

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

GCF of:
and

Greatest Common Factor of 917 and 924

GCF of 917 and 924 is 7

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 924


2 924
2 462
3 231
7 77
11 11
1

Prime factors of 924 are 2,3,7,11. Prime factorization of 924 in exponential form is:

924 = 22×31×71×111

∴ So by taking common prime factors GCF of 917 and 924 is 7

Greatest Common Factor of 917 and 924 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 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors and prime factorization of 917 and 924. The biggest common factor number is the GCF number.
So the greatest common factor 917 and 924 is 7.

Also check out the Least Common Multiple of 917 and 924

Properties of GCF 917 and 924

(i) The GCF of 917 and 924 is associative

GCF of 917 and 924 = GCF of 924 and 917

Related Greatest Common Factor of 917

Related Greatest Common Factor of 924

Frequently Asked Questions on GCF of 917 and 924

1. What is the GCF of 917 and 924?

Answer: GCF of 917 and 924 is 7.

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 924?

Answer: Factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924. There are 24 integers that are factors of 924. The greatest factor of 924 is 924.

4. How to Find the GCF of 917 and 924?

Answer:

Greatest Common Factor of 917 and 924 = 7

Step 1: Find the prime factorization of 917

917 = 7 x 131

Step 2: Find the prime factorization of 924

924 = 2 x 2 x 3 x 7 x 11

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

GCF = 7

Step 4: Therefore, the greatest common factor of 917 and 924 is 7