Greatest Common Factor of 945 and 951

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 945, 951 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 945 and 951 is 3.

GCF(945,951) = 3

GCF of 945 and 951

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

GCF of:
and

Greatest Common Factor of 945 and 951

GCF of 945 and 951 is 3

Prime Factorization of 945


3 945
3 315
3 105
5 35
7 7
1

Prime factors of 945 are 3,5,7. Prime factorization of 945 in exponential form is:

945 = 33×51×71

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

∴ So by taking common prime factors GCF of 945 and 951 is 3

Greatest Common Factor of 945 and 951 by matching factors method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 951

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

1,3,317,951

Greatest Common Factor

We found the factors and prime factorization of 945 and 951. The biggest common factor number is the GCF number.
So the greatest common factor 945 and 951 is 3.

Also check out the Least Common Multiple of 945 and 951

Properties of GCF 945 and 951

(i) The GCF of 945 and 951 is associative

GCF of 945 and 951 = GCF of 951 and 945

Related Greatest Common Factor of 945

Related Greatest Common Factor of 951

Frequently Asked Questions on GCF of 945 and 951

1. What is the GCF of 945 and 951?

Answer: GCF of 945 and 951 is 3.

2. What are the Factors of 945?

Answer: Factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945. There are 16 integers that are factors of 945. The greatest factor of 945 is 945.

3. 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.

4. How to Find the GCF of 945 and 951?

Answer:

Greatest Common Factor of 945 and 951 = 3

Step 1: Find the prime factorization of 945

945 = 3 x 3 x 3 x 5 x 7

Step 2: Find the prime factorization of 951

951 = 3 x 317

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 945 and 951 is 3