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 2952, 2954 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2952 and 2954 is 2.
GCF(2952,2954) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 2954
2 | 2954 |
7 | 1477 |
211 | 211 |
1 |
Prime factors of 2954 are 2,7,211. Prime factorization of 2954 in exponential form is:
2954 = 21×71×2111
∴ So by taking common prime factors GCF of 2952 and 2954 is 2
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
Factors of 2954
List of positive integer factors of 2954 that divides 2954 without a remainder.
1,2,7,14,211,422,1477,2954
Greatest Common Factor
We found the factors and prime factorization of 2952 and 2954. The biggest common factor number is the GCF number.
So the greatest common factor 2952 and 2954 is 2.
Also check out the Least Common Multiple of 2952 and 2954
(i) The GCF of 2952 and 2954 is associative
GCF of 2952 and 2954 = GCF of 2954 and 2952
1. What is the GCF of 2952 and 2954?
Answer: GCF of 2952 and 2954 is 2.
2. 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.
3. What are the Factors of 2954?
Answer: Factors of 2954 are 1, 2, 7, 14, 211, 422, 1477, 2954. There are 8 integers that are factors of 2954. The greatest factor of 2954 is 2954.
4. How to Find the GCF of 2952 and 2954?
Answer:
Greatest Common Factor of 2952 and 2954 = 2
Step 1: Find the prime factorization of 2952
2952 = 2 x 2 x 2 x 3 x 3 x 41
Step 2: Find the prime factorization of 2954
2954 = 2 x 7 x 211
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 2952 and 2954 is 2