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 2924, 2928 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2924 and 2928 is 4.
GCF(2924,2928) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2924
2 | 2924 |
2 | 1462 |
17 | 731 |
43 | 43 |
1 |
Prime factors of 2924 are 2,17,43. Prime factorization of 2924 in exponential form is:
2924 = 22×171×431
Prime Factorization of 2928
2 | 2928 |
2 | 1464 |
2 | 732 |
2 | 366 |
3 | 183 |
61 | 61 |
1 |
Prime factors of 2928 are 2,3,61. Prime factorization of 2928 in exponential form is:
2928 = 24×31×611
∴ So by taking common prime factors GCF of 2924 and 2928 is 4
Factors of 2924
List of positive integer factors of 2924 that divides 2924 without a remainder.
1,2,4,17,34,43,68,86,172,731,1462,2924
Factors of 2928
List of positive integer factors of 2928 that divides 2928 without a remainder.
1,2,3,4,6,8,12,16,24,48,61,122,183,244,366,488,732,976,1464,2928
Greatest Common Factor
We found the factors and prime factorization of 2924 and 2928. The biggest common factor number is the GCF number.
So the greatest common factor 2924 and 2928 is 4.
Also check out the Least Common Multiple of 2924 and 2928
(i) The GCF of 2924 and 2928 is associative
GCF of 2924 and 2928 = GCF of 2928 and 2924
1. What is the GCF of 2924 and 2928?
Answer: GCF of 2924 and 2928 is 4.
2. What are the Factors of 2924?
Answer: Factors of 2924 are 1, 2, 4, 17, 34, 43, 68, 86, 172, 731, 1462, 2924. There are 12 integers that are factors of 2924. The greatest factor of 2924 is 2924.
3. What are the Factors of 2928?
Answer: Factors of 2928 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 61, 122, 183, 244, 366, 488, 732, 976, 1464, 2928. There are 20 integers that are factors of 2928. The greatest factor of 2928 is 2928.
4. How to Find the GCF of 2924 and 2928?
Answer:
Greatest Common Factor of 2924 and 2928 = 4
Step 1: Find the prime factorization of 2924
2924 = 2 x 2 x 17 x 43
Step 2: Find the prime factorization of 2928
2928 = 2 x 2 x 2 x 2 x 3 x 61
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 2924 and 2928 is 4