Greatest Common Factor of 946 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 946, 954 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 946 and 954 is 2.

GCF(946,954) = 2

GCF of 946 and 954

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

GCF of:
and

Greatest Common Factor of 946 and 954

GCF of 946 and 954 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 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 946 and 954 is 2

Greatest Common Factor of 946 and 954 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 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 946 and 954. The biggest common factor number is the GCF number.
So the greatest common factor 946 and 954 is 2.

Also check out the Least Common Multiple of 946 and 954

Properties of GCF 946 and 954

(i) The GCF of 946 and 954 is associative

GCF of 946 and 954 = GCF of 954 and 946

Related Greatest Common Factor of 946

Related Greatest Common Factor of 954

Frequently Asked Questions on GCF of 946 and 954

1. What is the GCF of 946 and 954?

Answer: GCF of 946 and 954 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 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 946 and 954?

Answer:

Greatest Common Factor of 946 and 954 = 2

Step 1: Find the prime factorization of 946

946 = 2 x 11 x 43

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 = 2

Step 4: Therefore, the greatest common factor of 946 and 954 is 2