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 2480, 2487 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2480 and 2487 is 1.
GCF(2480,2487) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2480
2 | 2480 |
2 | 1240 |
2 | 620 |
2 | 310 |
5 | 155 |
31 | 31 |
1 |
Prime factors of 2480 are 2,5,31. Prime factorization of 2480 in exponential form is:
2480 = 24×51×311
Prime Factorization of 2487
3 | 2487 |
829 | 829 |
1 |
Prime factors of 2487 are 3,829. Prime factorization of 2487 in exponential form is:
2487 = 31×8291
∴ So by taking common prime factors GCF of 2480 and 2487 is 1
Factors of 2480
List of positive integer factors of 2480 that divides 2480 without a remainder.
1,2,4,5,8,10,16,20,31,40,62,80,124,155,248,310,496,620,1240,2480
Factors of 2487
List of positive integer factors of 2487 that divides 2487 without a remainder.
1,3,829,2487
Greatest Common Factor
We found the factors and prime factorization of 2480 and 2487. The biggest common factor number is the GCF number.
So the greatest common factor 2480 and 2487 is 1.
Also check out the Least Common Multiple of 2480 and 2487
(i) The GCF of 2480 and 2487 is associative
GCF of 2480 and 2487 = GCF of 2487 and 2480
1. What is the GCF of 2480 and 2487?
Answer: GCF of 2480 and 2487 is 1.
2. What are the Factors of 2480?
Answer: Factors of 2480 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 40, 62, 80, 124, 155, 248, 310, 496, 620, 1240, 2480. There are 20 integers that are factors of 2480. The greatest factor of 2480 is 2480.
3. What are the Factors of 2487?
Answer: Factors of 2487 are 1, 3, 829, 2487. There are 4 integers that are factors of 2487. The greatest factor of 2487 is 2487.
4. How to Find the GCF of 2480 and 2487?
Answer:
Greatest Common Factor of 2480 and 2487 = 1
Step 1: Find the prime factorization of 2480
2480 = 2 x 2 x 2 x 2 x 5 x 31
Step 2: Find the prime factorization of 2487
2487 = 3 x 829
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 2480 and 2487 is 1