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 2540, 2547 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2540 and 2547 is 1.
GCF(2540,2547) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2540
2 | 2540 |
2 | 1270 |
5 | 635 |
127 | 127 |
1 |
Prime factors of 2540 are 2,5,127. Prime factorization of 2540 in exponential form is:
2540 = 22×51×1271
Prime Factorization of 2547
3 | 2547 |
3 | 849 |
283 | 283 |
1 |
Prime factors of 2547 are 3,283. Prime factorization of 2547 in exponential form is:
2547 = 32×2831
∴ So by taking common prime factors GCF of 2540 and 2547 is 1
Factors of 2540
List of positive integer factors of 2540 that divides 2540 without a remainder.
1,2,4,5,10,20,127,254,508,635,1270,2540
Factors of 2547
List of positive integer factors of 2547 that divides 2547 without a remainder.
1,3,9,283,849,2547
Greatest Common Factor
We found the factors and prime factorization of 2540 and 2547. The biggest common factor number is the GCF number.
So the greatest common factor 2540 and 2547 is 1.
Also check out the Least Common Multiple of 2540 and 2547
(i) The GCF of 2540 and 2547 is associative
GCF of 2540 and 2547 = GCF of 2547 and 2540
1. What is the GCF of 2540 and 2547?
Answer: GCF of 2540 and 2547 is 1.
2. What are the Factors of 2540?
Answer: Factors of 2540 are 1, 2, 4, 5, 10, 20, 127, 254, 508, 635, 1270, 2540. There are 12 integers that are factors of 2540. The greatest factor of 2540 is 2540.
3. What are the Factors of 2547?
Answer: Factors of 2547 are 1, 3, 9, 283, 849, 2547. There are 6 integers that are factors of 2547. The greatest factor of 2547 is 2547.
4. How to Find the GCF of 2540 and 2547?
Answer:
Greatest Common Factor of 2540 and 2547 = 1
Step 1: Find the prime factorization of 2540
2540 = 2 x 2 x 5 x 127
Step 2: Find the prime factorization of 2547
2547 = 3 x 3 x 283
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 2540 and 2547 is 1