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
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
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
(i) The GCF of 944 and 949 is associative
GCF of 944 and 949 = GCF of 949 and 944
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