Greatest Common Factor of 944 and 949

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 944, 949 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 944 and 949 is 1.

GCF(944,949) = 1

GCF of 944 and 949

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

GCF of:
and

Greatest Common Factor of 944 and 949

GCF of 944 and 949 is 1

Prime Factorization of 944


2 944
2 472
2 236
2 118
59 59
1

Prime factors of 944 are 2,59. Prime factorization of 944 in exponential form is:

944 = 24×591

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

∴ So by taking common prime factors GCF of 944 and 949 is 1

Greatest Common Factor of 944 and 949 by matching factors method

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Factors of 949

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

1,13,73,949

Greatest Common Factor

We found the factors and prime factorization of 944 and 949. The biggest common factor number is the GCF number.
So the greatest common factor 944 and 949 is 1.

Also check out the Least Common Multiple of 944 and 949

Properties of GCF 944 and 949

(i) The GCF of 944 and 949 is associative

GCF of 944 and 949 = GCF of 949 and 944

Related Greatest Common Factor of 944

Related Greatest Common Factor of 949

Frequently Asked Questions on GCF of 944 and 949

1. What is the GCF of 944 and 949?

Answer: GCF of 944 and 949 is 1.

2. What are the Factors of 944?

Answer: Factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, 944. There are 10 integers that are factors of 944. The greatest factor of 944 is 944.

3. 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.

4. How to Find the GCF of 944 and 949?

Answer:

Greatest Common Factor of 944 and 949 = 1

Step 1: Find the prime factorization of 944

944 = 2 x 2 x 2 x 2 x 59

Step 2: Find the prime factorization of 949

949 = 13 x 73

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 944 and 949 is 1