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 2544, 2552 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2544 and 2552 is 8.
GCF(2544,2552) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2544
2 | 2544 |
2 | 1272 |
2 | 636 |
2 | 318 |
3 | 159 |
53 | 53 |
1 |
Prime factors of 2544 are 2,3,53. Prime factorization of 2544 in exponential form is:
2544 = 24×31×531
Prime Factorization of 2552
2 | 2552 |
2 | 1276 |
2 | 638 |
11 | 319 |
29 | 29 |
1 |
Prime factors of 2552 are 2,11,29. Prime factorization of 2552 in exponential form is:
2552 = 23×111×291
∴ So by taking common prime factors GCF of 2544 and 2552 is 8
Factors of 2544
List of positive integer factors of 2544 that divides 2544 without a remainder.
1,2,3,4,6,8,12,16,24,48,53,106,159,212,318,424,636,848,1272,2544
Factors of 2552
List of positive integer factors of 2552 that divides 2552 without a remainder.
1,2,4,8,11,22,29,44,58,88,116,232,319,638,1276,2552
Greatest Common Factor
We found the factors and prime factorization of 2544 and 2552. The biggest common factor number is the GCF number.
So the greatest common factor 2544 and 2552 is 8.
Also check out the Least Common Multiple of 2544 and 2552
(i) The GCF of 2544 and 2552 is associative
GCF of 2544 and 2552 = GCF of 2552 and 2544
1. What is the GCF of 2544 and 2552?
Answer: GCF of 2544 and 2552 is 8.
2. What are the Factors of 2544?
Answer: Factors of 2544 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 53, 106, 159, 212, 318, 424, 636, 848, 1272, 2544. There are 20 integers that are factors of 2544. The greatest factor of 2544 is 2544.
3. What are the Factors of 2552?
Answer: Factors of 2552 are 1, 2, 4, 8, 11, 22, 29, 44, 58, 88, 116, 232, 319, 638, 1276, 2552. There are 16 integers that are factors of 2552. The greatest factor of 2552 is 2552.
4. How to Find the GCF of 2544 and 2552?
Answer:
Greatest Common Factor of 2544 and 2552 = 8
Step 1: Find the prime factorization of 2544
2544 = 2 x 2 x 2 x 2 x 3 x 53
Step 2: Find the prime factorization of 2552
2552 = 2 x 2 x 2 x 11 x 29
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 2544 and 2552 is 8