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 2545, 2552 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2545 and 2552 is 1.
GCF(2545,2552) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2545
5 | 2545 |
509 | 509 |
1 |
Prime factors of 2545 are 5,509. Prime factorization of 2545 in exponential form is:
2545 = 51×5091
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 2545 and 2552 is 1
Factors of 2545
List of positive integer factors of 2545 that divides 2545 without a remainder.
1,5,509,2545
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 2545 and 2552. The biggest common factor number is the GCF number.
So the greatest common factor 2545 and 2552 is 1.
Also check out the Least Common Multiple of 2545 and 2552
(i) The GCF of 2545 and 2552 is associative
GCF of 2545 and 2552 = GCF of 2552 and 2545
1. What is the GCF of 2545 and 2552?
Answer: GCF of 2545 and 2552 is 1.
2. What are the Factors of 2545?
Answer: Factors of 2545 are 1, 5, 509, 2545. There are 4 integers that are factors of 2545. The greatest factor of 2545 is 2545.
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 2545 and 2552?
Answer:
Greatest Common Factor of 2545 and 2552 = 1
Step 1: Find the prime factorization of 2545
2545 = 5 x 509
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 = = 1
Step 4: Therefore, the greatest common factor of 2545 and 2552 is 1