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 2453, 2460 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2453 and 2460 is 1.
GCF(2453,2460) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2453
11 | 2453 |
223 | 223 |
1 |
Prime factors of 2453 are 11,223. Prime factorization of 2453 in exponential form is:
2453 = 111×2231
Prime Factorization of 2460
2 | 2460 |
2 | 1230 |
3 | 615 |
5 | 205 |
41 | 41 |
1 |
Prime factors of 2460 are 2,3,5,41. Prime factorization of 2460 in exponential form is:
2460 = 22×31×51×411
∴ So by taking common prime factors GCF of 2453 and 2460 is 1
Factors of 2453
List of positive integer factors of 2453 that divides 2453 without a remainder.
1,11,223,2453
Factors of 2460
List of positive integer factors of 2460 that divides 2460 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,41,60,82,123,164,205,246,410,492,615,820,1230,2460
Greatest Common Factor
We found the factors and prime factorization of 2453 and 2460. The biggest common factor number is the GCF number.
So the greatest common factor 2453 and 2460 is 1.
Also check out the Least Common Multiple of 2453 and 2460
(i) The GCF of 2453 and 2460 is associative
GCF of 2453 and 2460 = GCF of 2460 and 2453
1. What is the GCF of 2453 and 2460?
Answer: GCF of 2453 and 2460 is 1.
2. What are the Factors of 2453?
Answer: Factors of 2453 are 1, 11, 223, 2453. There are 4 integers that are factors of 2453. The greatest factor of 2453 is 2453.
3. What are the Factors of 2460?
Answer: Factors of 2460 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 41, 60, 82, 123, 164, 205, 246, 410, 492, 615, 820, 1230, 2460. There are 24 integers that are factors of 2460. The greatest factor of 2460 is 2460.
4. How to Find the GCF of 2453 and 2460?
Answer:
Greatest Common Factor of 2453 and 2460 = 1
Step 1: Find the prime factorization of 2453
2453 = 11 x 223
Step 2: Find the prime factorization of 2460
2460 = 2 x 2 x 3 x 5 x 41
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 2453 and 2460 is 1