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 2652, 2660 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2652 and 2660 is 4.
GCF(2652,2660) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2652
2 | 2652 |
2 | 1326 |
3 | 663 |
13 | 221 |
17 | 17 |
1 |
Prime factors of 2652 are 2,3,13,17. Prime factorization of 2652 in exponential form is:
2652 = 22×31×131×171
Prime Factorization of 2660
2 | 2660 |
2 | 1330 |
5 | 665 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 2660 are 2,5,7,19. Prime factorization of 2660 in exponential form is:
2660 = 22×51×71×191
∴ So by taking common prime factors GCF of 2652 and 2660 is 4
Factors of 2652
List of positive integer factors of 2652 that divides 2652 without a remainder.
1,2,3,4,6,12,13,17,26,34,39,51,52,68,78,102,156,204,221,442,663,884,1326,2652
Factors of 2660
List of positive integer factors of 2660 that divides 2660 without a remainder.
1,2,4,5,7,10,14,19,20,28,35,38,70,76,95,133,140,190,266,380,532,665,1330,2660
Greatest Common Factor
We found the factors and prime factorization of 2652 and 2660. The biggest common factor number is the GCF number.
So the greatest common factor 2652 and 2660 is 4.
Also check out the Least Common Multiple of 2652 and 2660
(i) The GCF of 2652 and 2660 is associative
GCF of 2652 and 2660 = GCF of 2660 and 2652
1. What is the GCF of 2652 and 2660?
Answer: GCF of 2652 and 2660 is 4.
2. What are the Factors of 2652?
Answer: Factors of 2652 are 1, 2, 3, 4, 6, 12, 13, 17, 26, 34, 39, 51, 52, 68, 78, 102, 156, 204, 221, 442, 663, 884, 1326, 2652. There are 24 integers that are factors of 2652. The greatest factor of 2652 is 2652.
3. What are the Factors of 2660?
Answer: Factors of 2660 are 1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 38, 70, 76, 95, 133, 140, 190, 266, 380, 532, 665, 1330, 2660. There are 24 integers that are factors of 2660. The greatest factor of 2660 is 2660.
4. How to Find the GCF of 2652 and 2660?
Answer:
Greatest Common Factor of 2652 and 2660 = 4
Step 1: Find the prime factorization of 2652
2652 = 2 x 2 x 3 x 13 x 17
Step 2: Find the prime factorization of 2660
2660 = 2 x 2 x 5 x 7 x 19
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 2652 and 2660 is 4