Greatest Common Factor of 921 and 928

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

Greatest common factor (GCF) of 921 and 928 is 1.

GCF(921,928) = 1

GCF of 921 and 928

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

GCF of:
and

Greatest Common Factor of 921 and 928

GCF of 921 and 928 is 1

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 928


2 928
2 464
2 232
2 116
2 58
29 29
1

Prime factors of 928 are 2,29. Prime factorization of 928 in exponential form is:

928 = 25×291

∴ So by taking common prime factors GCF of 921 and 928 is 1

Greatest Common Factor of 921 and 928 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 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors and prime factorization of 921 and 928. The biggest common factor number is the GCF number.
So the greatest common factor 921 and 928 is 1.

Also check out the Least Common Multiple of 921 and 928

Properties of GCF 921 and 928

(i) The GCF of 921 and 928 is associative

GCF of 921 and 928 = GCF of 928 and 921

Related Greatest Common Factor of 921

Related Greatest Common Factor of 928

Frequently Asked Questions on GCF of 921 and 928

1. What is the GCF of 921 and 928?

Answer: GCF of 921 and 928 is 1.

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 928?

Answer: Factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928. There are 12 integers that are factors of 928. The greatest factor of 928 is 928.

4. How to Find the GCF of 921 and 928?

Answer:

Greatest Common Factor of 921 and 928 = 1

Step 1: Find the prime factorization of 921

921 = 3 x 307

Step 2: Find the prime factorization of 928

928 = 2 x 2 x 2 x 2 x 2 x 29

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 921 and 928 is 1