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 2946, 2952 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2946 and 2952 is 6.
GCF(2946,2952) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2946
2 | 2946 |
3 | 1473 |
491 | 491 |
1 |
Prime factors of 2946 are 2,3,491. Prime factorization of 2946 in exponential form is:
2946 = 21×31×4911
Prime Factorization of 2952
2 | 2952 |
2 | 1476 |
2 | 738 |
3 | 369 |
3 | 123 |
41 | 41 |
1 |
Prime factors of 2952 are 2,3,41. Prime factorization of 2952 in exponential form is:
2952 = 23×32×411
∴ So by taking common prime factors GCF of 2946 and 2952 is 6
Factors of 2946
List of positive integer factors of 2946 that divides 2946 without a remainder.
1,2,3,6,491,982,1473,2946
Factors of 2952
List of positive integer factors of 2952 that divides 2952 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,41,72,82,123,164,246,328,369,492,738,984,1476,2952
Greatest Common Factor
We found the factors and prime factorization of 2946 and 2952. The biggest common factor number is the GCF number.
So the greatest common factor 2946 and 2952 is 6.
Also check out the Least Common Multiple of 2946 and 2952
(i) The GCF of 2946 and 2952 is associative
GCF of 2946 and 2952 = GCF of 2952 and 2946
1. What is the GCF of 2946 and 2952?
Answer: GCF of 2946 and 2952 is 6.
2. What are the Factors of 2946?
Answer: Factors of 2946 are 1, 2, 3, 6, 491, 982, 1473, 2946. There are 8 integers that are factors of 2946. The greatest factor of 2946 is 2946.
3. What are the Factors of 2952?
Answer: Factors of 2952 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 41, 72, 82, 123, 164, 246, 328, 369, 492, 738, 984, 1476, 2952. There are 24 integers that are factors of 2952. The greatest factor of 2952 is 2952.
4. How to Find the GCF of 2946 and 2952?
Answer:
Greatest Common Factor of 2946 and 2952 = 6
Step 1: Find the prime factorization of 2946
2946 = 2 x 3 x 491
Step 2: Find the prime factorization of 2952
2952 = 2 x 2 x 2 x 3 x 3 x 41
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 2946 and 2952 is 6