Greatest Common Factor of 921 and 927

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 921, 927 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 921 and 927 is 3.

GCF(921,927) = 3

GCF of 921 and 927

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

GCF of:
and

Greatest Common Factor of 921 and 927

GCF of 921 and 927 is 3

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

Prime Factorization of 927


3 927
3 309
103 103
1

Prime factors of 927 are 3,103. Prime factorization of 927 in exponential form is:

927 = 32×1031

∴ So by taking common prime factors GCF of 921 and 927 is 3

Greatest Common Factor of 921 and 927 by matching factors method

Factors of 921

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

1,3,307,921

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Greatest Common Factor

We found the factors and prime factorization of 921 and 927. The biggest common factor number is the GCF number.
So the greatest common factor 921 and 927 is 3.

Also check out the Least Common Multiple of 921 and 927

Properties of GCF 921 and 927

(i) The GCF of 921 and 927 is associative

GCF of 921 and 927 = GCF of 927 and 921

Related Greatest Common Factor of 921

Related Greatest Common Factor of 927

Frequently Asked Questions on GCF of 921 and 927

1. What is the GCF of 921 and 927?

Answer: GCF of 921 and 927 is 3.

2. 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.

3. What are the Factors of 927?

Answer: Factors of 927 are 1, 3, 9, 103, 309, 927. There are 6 integers that are factors of 927. The greatest factor of 927 is 927.

4. How to Find the GCF of 921 and 927?

Answer:

Greatest Common Factor of 921 and 927 = 3

Step 1: Find the prime factorization of 921

921 = 3 x 307

Step 2: Find the prime factorization of 927

927 = 3 x 3 x 103

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 921 and 927 is 3