Greatest Common Factor of 949 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 949, 954 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 949 and 954 is 1.

GCF(949,954) = 1

GCF of 949 and 954

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

GCF of:
and

Greatest Common Factor of 949 and 954

GCF of 949 and 954 is 1

Prime Factorization of 949


13 949
73 73
1

Prime factors of 949 are 13,73. Prime factorization of 949 in exponential form is:

949 = 131×731

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 949 and 954 is 1

Greatest Common Factor of 949 and 954 by matching factors method

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

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 949 and 954. The biggest common factor number is the GCF number.
So the greatest common factor 949 and 954 is 1.

Also check out the Least Common Multiple of 949 and 954

Properties of GCF 949 and 954

(i) The GCF of 949 and 954 is associative

GCF of 949 and 954 = GCF of 954 and 949

Related Greatest Common Factor of 949

Related Greatest Common Factor of 954

Frequently Asked Questions on GCF of 949 and 954

1. What is the GCF of 949 and 954?

Answer: GCF of 949 and 954 is 1.

2. What are the Factors of 949?

Answer: Factors of 949 are 1, 13, 73, 949. There are 4 integers that are factors of 949. The greatest factor of 949 is 949.

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 949 and 954?

Answer:

Greatest Common Factor of 949 and 954 = 1

Step 1: Find the prime factorization of 949

949 = 13 x 73

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 = = 1

Step 4: Therefore, the greatest common factor of 949 and 954 is 1