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 2968, 2975 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2968 and 2975 is 7.
GCF(2968,2975) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2968
2 | 2968 |
2 | 1484 |
2 | 742 |
7 | 371 |
53 | 53 |
1 |
Prime factors of 2968 are 2,7,53. Prime factorization of 2968 in exponential form is:
2968 = 23×71×531
Prime Factorization of 2975
5 | 2975 |
5 | 595 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 2975 are 5,7,17. Prime factorization of 2975 in exponential form is:
2975 = 52×71×171
∴ So by taking common prime factors GCF of 2968 and 2975 is 7
Factors of 2968
List of positive integer factors of 2968 that divides 2968 without a remainder.
1,2,4,7,8,14,28,53,56,106,212,371,424,742,1484,2968
Factors of 2975
List of positive integer factors of 2975 that divides 2975 without a remainder.
1,5,7,17,25,35,85,119,175,425,595,2975
Greatest Common Factor
We found the factors and prime factorization of 2968 and 2975. The biggest common factor number is the GCF number.
So the greatest common factor 2968 and 2975 is 7.
Also check out the Least Common Multiple of 2968 and 2975
(i) The GCF of 2968 and 2975 is associative
GCF of 2968 and 2975 = GCF of 2975 and 2968
1. What is the GCF of 2968 and 2975?
Answer: GCF of 2968 and 2975 is 7.
2. What are the Factors of 2968?
Answer: Factors of 2968 are 1, 2, 4, 7, 8, 14, 28, 53, 56, 106, 212, 371, 424, 742, 1484, 2968. There are 16 integers that are factors of 2968. The greatest factor of 2968 is 2968.
3. What are the Factors of 2975?
Answer: Factors of 2975 are 1, 5, 7, 17, 25, 35, 85, 119, 175, 425, 595, 2975. There are 12 integers that are factors of 2975. The greatest factor of 2975 is 2975.
4. How to Find the GCF of 2968 and 2975?
Answer:
Greatest Common Factor of 2968 and 2975 = 7
Step 1: Find the prime factorization of 2968
2968 = 2 x 2 x 2 x 7 x 53
Step 2: Find the prime factorization of 2975
2975 = 5 x 5 x 7 x 17
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 2968 and 2975 is 7