Greatest Common Factor of 945 and 952

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, 952 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 945 and 952 is 7.

GCF(945,952) = 7

GCF of 945 and 952

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

GCF of:
and

Greatest Common Factor of 945 and 952

GCF of 945 and 952 is 7

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 952


2 952
2 476
2 238
7 119
17 17
1

Prime factors of 952 are 2,7,17. Prime factorization of 952 in exponential form is:

952 = 23×71×171

∴ So by taking common prime factors GCF of 945 and 952 is 7

Greatest Common Factor of 945 and 952 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 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors and prime factorization of 945 and 952. The biggest common factor number is the GCF number.
So the greatest common factor 945 and 952 is 7.

Also check out the Least Common Multiple of 945 and 952

Properties of GCF 945 and 952

(i) The GCF of 945 and 952 is associative

GCF of 945 and 952 = GCF of 952 and 945

Related Greatest Common Factor of 945

Related Greatest Common Factor of 952

Frequently Asked Questions on GCF of 945 and 952

1. What is the GCF of 945 and 952?

Answer: GCF of 945 and 952 is 7.

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 952?

Answer: Factors of 952 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952. There are 16 integers that are factors of 952. The greatest factor of 952 is 952.

4. How to Find the GCF of 945 and 952?

Answer:

Greatest Common Factor of 945 and 952 = 7

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 952

952 = 2 x 2 x 2 x 7 x 17

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 945 and 952 is 7