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 2920, 2928 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2920 and 2928 is 8.
GCF(2920,2928) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2920
2 | 2920 |
2 | 1460 |
2 | 730 |
5 | 365 |
73 | 73 |
1 |
Prime factors of 2920 are 2,5,73. Prime factorization of 2920 in exponential form is:
2920 = 23×51×731
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 2920 and 2928 is 8
Factors of 2920
List of positive integer factors of 2920 that divides 2920 without a remainder.
1,2,4,5,8,10,20,40,73,146,292,365,584,730,1460,2920
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 2920 and 2928. The biggest common factor number is the GCF number.
So the greatest common factor 2920 and 2928 is 8.
Also check out the Least Common Multiple of 2920 and 2928
(i) The GCF of 2920 and 2928 is associative
GCF of 2920 and 2928 = GCF of 2928 and 2920
1. What is the GCF of 2920 and 2928?
Answer: GCF of 2920 and 2928 is 8.
2. What are the Factors of 2920?
Answer: Factors of 2920 are 1, 2, 4, 5, 8, 10, 20, 40, 73, 146, 292, 365, 584, 730, 1460, 2920. There are 16 integers that are factors of 2920. The greatest factor of 2920 is 2920.
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 2920 and 2928?
Answer:
Greatest Common Factor of 2920 and 2928 = 8
Step 1: Find the prime factorization of 2920
2920 = 2 x 2 x 2 x 5 x 73
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 x 2 = 8
Step 4: Therefore, the greatest common factor of 2920 and 2928 is 8