Greatest Common Factor of 918 and 920

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 918, 920 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 918 and 920 is 2.

GCF(918,920) = 2

GCF of 918 and 920

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

GCF of:
and

Greatest Common Factor of 918 and 920

GCF of 918 and 920 is 2

Prime Factorization of 918


2 918
3 459
3 153
3 51
17 17
1

Prime factors of 918 are 2,3,17. Prime factorization of 918 in exponential form is:

918 = 21×33×171

Prime Factorization of 920


2 920
2 460
2 230
5 115
23 23
1

Prime factors of 920 are 2,5,23. Prime factorization of 920 in exponential form is:

920 = 23×51×231

∴ So by taking common prime factors GCF of 918 and 920 is 2

Greatest Common Factor of 918 and 920 by matching factors method

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors and prime factorization of 918 and 920. The biggest common factor number is the GCF number.
So the greatest common factor 918 and 920 is 2.

Also check out the Least Common Multiple of 918 and 920

Properties of GCF 918 and 920

(i) The GCF of 918 and 920 is associative

GCF of 918 and 920 = GCF of 920 and 918

Related Greatest Common Factor of 918

Related Greatest Common Factor of 920

Frequently Asked Questions on GCF of 918 and 920

1. What is the GCF of 918 and 920?

Answer: GCF of 918 and 920 is 2.

2. What are the Factors of 918?

Answer: Factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918. There are 16 integers that are factors of 918. The greatest factor of 918 is 918.

3. What are the Factors of 920?

Answer: Factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920. There are 16 integers that are factors of 920. The greatest factor of 920 is 920.

4. How to Find the GCF of 918 and 920?

Answer:

Greatest Common Factor of 918 and 920 = 2

Step 1: Find the prime factorization of 918

918 = 2 x 3 x 3 x 3 x 17

Step 2: Find the prime factorization of 920

920 = 2 x 2 x 2 x 5 x 23

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

GCF = 2

Step 4: Therefore, the greatest common factor of 918 and 920 is 2