Greatest Common Factor of 918 and 921

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, 921 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 918 and 921 is 3.

GCF(918,921) = 3

GCF of 918 and 921

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

GCF of:
and

Greatest Common Factor of 918 and 921

GCF of 918 and 921 is 3

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 921


3 921
307 307
1

Prime factors of 921 are 3,307. Prime factorization of 921 in exponential form is:

921 = 31×3071

∴ So by taking common prime factors GCF of 918 and 921 is 3

Greatest Common Factor of 918 and 921 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 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Greatest Common Factor

We found the factors and prime factorization of 918 and 921. The biggest common factor number is the GCF number.
So the greatest common factor 918 and 921 is 3.

Also check out the Least Common Multiple of 918 and 921

Properties of GCF 918 and 921

(i) The GCF of 918 and 921 is associative

GCF of 918 and 921 = GCF of 921 and 918

Related Greatest Common Factor of 918

Related Greatest Common Factor of 921

Frequently Asked Questions on GCF of 918 and 921

1. What is the GCF of 918 and 921?

Answer: GCF of 918 and 921 is 3.

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 921?

Answer: Factors of 921 are 1, 3, 307, 921. There are 4 integers that are factors of 921. The greatest factor of 921 is 921.

4. How to Find the GCF of 918 and 921?

Answer:

Greatest Common Factor of 918 and 921 = 3

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 921

921 = 3 x 307

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

GCF = 3

Step 4: Therefore, the greatest common factor of 918 and 921 is 3