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 2949, 2957 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2949 and 2957 is 1.
GCF(2949,2957) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2949
3 | 2949 |
983 | 983 |
1 |
Prime factors of 2949 are 3,983. Prime factorization of 2949 in exponential form is:
2949 = 31×9831
Prime Factorization of 2957
2957 | 2957 |
1 |
Prime factors of 2957 are 2957. Prime factorization of 2957 in exponential form is:
2957 = 29571
∴ So by taking common prime factors GCF of 2949 and 2957 is 1
Factors of 2949
List of positive integer factors of 2949 that divides 2949 without a remainder.
1,3,983,2949
Factors of 2957
List of positive integer factors of 2957 that divides 2957 without a remainder.
1,2957
Greatest Common Factor
We found the factors and prime factorization of 2949 and 2957. The biggest common factor number is the GCF number.
So the greatest common factor 2949 and 2957 is 1.
Also check out the Least Common Multiple of 2949 and 2957
(i) The GCF of 2949 and 2957 is associative
GCF of 2949 and 2957 = GCF of 2957 and 2949
1. What is the GCF of 2949 and 2957?
Answer: GCF of 2949 and 2957 is 1.
2. What are the Factors of 2949?
Answer: Factors of 2949 are 1, 3, 983, 2949. There are 4 integers that are factors of 2949. The greatest factor of 2949 is 2949.
3. What are the Factors of 2957?
Answer: Factors of 2957 are 1, 2957. There are 2 integers that are factors of 2957. The greatest factor of 2957 is 2957.
4. How to Find the GCF of 2949 and 2957?
Answer:
Greatest Common Factor of 2949 and 2957 = 1
Step 1: Find the prime factorization of 2949
2949 = 3 x 983
Step 2: Find the prime factorization of 2957
2957 = 2957
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 2949 and 2957 is 1