Greatest Common Factor of 954 and 961

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, 961 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 954 and 961 is 1.

GCF(954,961) = 1

GCF of 954 and 961

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

GCF of:
and

Greatest Common Factor of 954 and 961

GCF of 954 and 961 is 1

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 961


31 961
31 31
1

Prime factors of 961 are 31. Prime factorization of 961 in exponential form is:

961 = 312

∴ So by taking common prime factors GCF of 954 and 961 is 1

Greatest Common Factor of 954 and 961 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 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Greatest Common Factor

We found the factors and prime factorization of 954 and 961. The biggest common factor number is the GCF number.
So the greatest common factor 954 and 961 is 1.

Also check out the Least Common Multiple of 954 and 961

Properties of GCF 954 and 961

(i) The GCF of 954 and 961 is associative

GCF of 954 and 961 = GCF of 961 and 954

Related Greatest Common Factor of 954

Related Greatest Common Factor of 961

Frequently Asked Questions on GCF of 954 and 961

1. What is the GCF of 954 and 961?

Answer: GCF of 954 and 961 is 1.

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 961?

Answer: Factors of 961 are 1, 31, 961. There are 3 integers that are factors of 961. The greatest factor of 961 is 961.

4. How to Find the GCF of 954 and 961?

Answer:

Greatest Common Factor of 954 and 961 = 1

Step 1: Find the prime factorization of 954

954 = 2 x 3 x 3 x 53

Step 2: Find the prime factorization of 961

961 = 31 x 31

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 954 and 961 is 1