Greatest Common Factor of 914 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 914, 921 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 914 and 921 is 1.

GCF(914,921) = 1

GCF of 914 and 921

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

GCF of:
and

Greatest Common Factor of 914 and 921

GCF of 914 and 921 is 1

Prime Factorization of 914


2 914
457 457
1

Prime factors of 914 are 2,457. Prime factorization of 914 in exponential form is:

914 = 21×4571

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 914 and 921 is 1

Greatest Common Factor of 914 and 921 by matching factors method

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

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 914 and 921. The biggest common factor number is the GCF number.
So the greatest common factor 914 and 921 is 1.

Also check out the Least Common Multiple of 914 and 921

Properties of GCF 914 and 921

(i) The GCF of 914 and 921 is associative

GCF of 914 and 921 = GCF of 921 and 914

Related Greatest Common Factor of 914

Related Greatest Common Factor of 921

Frequently Asked Questions on GCF of 914 and 921

1. What is the GCF of 914 and 921?

Answer: GCF of 914 and 921 is 1.

2. What are the Factors of 914?

Answer: Factors of 914 are 1, 2, 457, 914. There are 4 integers that are factors of 914. The greatest factor of 914 is 914.

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 914 and 921?

Answer:

Greatest Common Factor of 914 and 921 = 1

Step 1: Find the prime factorization of 914

914 = 2 x 457

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 = = 1

Step 4: Therefore, the greatest common factor of 914 and 921 is 1