Greatest Common Factor of 954 and 958

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 954, 958 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 954 and 958 is 2.

GCF(954,958) = 2

GCF of 954 and 958

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

GCF of:
and

Greatest Common Factor of 954 and 958

GCF of 954 and 958 is 2

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

Prime Factorization of 958


2 958
479 479
1

Prime factors of 958 are 2,479. Prime factorization of 958 in exponential form is:

958 = 21×4791

∴ So by taking common prime factors GCF of 954 and 958 is 2

Greatest Common Factor of 954 and 958 by matching factors method

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

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors and prime factorization of 954 and 958. The biggest common factor number is the GCF number.
So the greatest common factor 954 and 958 is 2.

Also check out the Least Common Multiple of 954 and 958

Properties of GCF 954 and 958

(i) The GCF of 954 and 958 is associative

GCF of 954 and 958 = GCF of 958 and 954

Related Greatest Common Factor of 954

Related Greatest Common Factor of 958

Frequently Asked Questions on GCF of 954 and 958

1. What is the GCF of 954 and 958?

Answer: GCF of 954 and 958 is 2.

2. 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.

3. What are the Factors of 958?

Answer: Factors of 958 are 1, 2, 479, 958. There are 4 integers that are factors of 958. The greatest factor of 958 is 958.

4. How to Find the GCF of 954 and 958?

Answer:

Greatest Common Factor of 954 and 958 = 2

Step 1: Find the prime factorization of 954

954 = 2 x 3 x 3 x 53

Step 2: Find the prime factorization of 958

958 = 2 x 479

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 954 and 958 is 2