Greatest Common Factor of 951 and 954

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 951, 954 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 951 and 954 is 3.

GCF(951,954) = 3

GCF of 951 and 954

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

GCF of:
and

Greatest Common Factor of 951 and 954

GCF of 951 and 954 is 3

Prime Factorization of 951


3 951
317 317
1

Prime factors of 951 are 3,317. Prime factorization of 951 in exponential form is:

951 = 31×3171

Prime Factorization of 954


2 954
3 477
3 159
53 53
1

Prime factors of 954 are 2,3,53. Prime factorization of 954 in exponential form is:

954 = 21×32×531

∴ So by taking common prime factors GCF of 951 and 954 is 3

Greatest Common Factor of 951 and 954 by matching factors method

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors and prime factorization of 951 and 954. The biggest common factor number is the GCF number.
So the greatest common factor 951 and 954 is 3.

Also check out the Least Common Multiple of 951 and 954

Properties of GCF 951 and 954

(i) The GCF of 951 and 954 is associative

GCF of 951 and 954 = GCF of 954 and 951

Related Greatest Common Factor of 951

Related Greatest Common Factor of 954

Frequently Asked Questions on GCF of 951 and 954

1. What is the GCF of 951 and 954?

Answer: GCF of 951 and 954 is 3.

2. What are the Factors of 951?

Answer: Factors of 951 are 1, 3, 317, 951. There are 4 integers that are factors of 951. The greatest factor of 951 is 951.

3. What are the Factors of 954?

Answer: Factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954. There are 12 integers that are factors of 954. The greatest factor of 954 is 954.

4. How to Find the GCF of 951 and 954?

Answer:

Greatest Common Factor of 951 and 954 = 3

Step 1: Find the prime factorization of 951

951 = 3 x 317

Step 2: Find the prime factorization of 954

954 = 2 x 3 x 3 x 53

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 951 and 954 is 3