Greatest Common Factor of 946 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 946, 952 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 946 and 952 is 2.

GCF(946,952) = 2

GCF of 946 and 952

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

GCF of:
and

Greatest Common Factor of 946 and 952

GCF of 946 and 952 is 2

Prime Factorization of 946


2 946
11 473
43 43
1

Prime factors of 946 are 2,11,43. Prime factorization of 946 in exponential form is:

946 = 21×111×431

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 946 and 952 is 2

Greatest Common Factor of 946 and 952 by matching factors method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

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 946 and 952. The biggest common factor number is the GCF number.
So the greatest common factor 946 and 952 is 2.

Also check out the Least Common Multiple of 946 and 952

Properties of GCF 946 and 952

(i) The GCF of 946 and 952 is associative

GCF of 946 and 952 = GCF of 952 and 946

Related Greatest Common Factor of 946

Related Greatest Common Factor of 952

Frequently Asked Questions on GCF of 946 and 952

1. What is the GCF of 946 and 952?

Answer: GCF of 946 and 952 is 2.

2. What are the Factors of 946?

Answer: Factors of 946 are 1, 2, 11, 22, 43, 86, 473, 946. There are 8 integers that are factors of 946. The greatest factor of 946 is 946.

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 946 and 952?

Answer:

Greatest Common Factor of 946 and 952 = 2

Step 1: Find the prime factorization of 946

946 = 2 x 11 x 43

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 = 2

Step 4: Therefore, the greatest common factor of 946 and 952 is 2