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 1485, 1490 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1485 and 1490 is 5.
GCF(1485,1490) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1485
3 | 1485 |
3 | 495 |
3 | 165 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 1485 are 3,5,11. Prime factorization of 1485 in exponential form is:
1485 = 33×51×111
Prime Factorization of 1490
2 | 1490 |
5 | 745 |
149 | 149 |
1 |
Prime factors of 1490 are 2,5,149. Prime factorization of 1490 in exponential form is:
1490 = 21×51×1491
∴ So by taking common prime factors GCF of 1485 and 1490 is 5
Factors of 1485
List of positive integer factors of 1485 that divides 1485 without a remainder.
1,3,5,9,11,15,27,33,45,55,99,135,165,297,495,1485
Factors of 1490
List of positive integer factors of 1490 that divides 1490 without a remainder.
1,2,5,10,149,298,745,1490
Greatest Common Factor
We found the factors and prime factorization of 1485 and 1490. The biggest common factor number is the GCF number.
So the greatest common factor 1485 and 1490 is 5.
Also check out the Least Common Multiple of 1485 and 1490
(i) The GCF of 1485 and 1490 is associative
GCF of 1485 and 1490 = GCF of 1490 and 1485
1. What is the GCF of 1485 and 1490?
Answer: GCF of 1485 and 1490 is 5.
2. What are the Factors of 1485?
Answer: Factors of 1485 are 1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 99, 135, 165, 297, 495, 1485. There are 16 integers that are factors of 1485. The greatest factor of 1485 is 1485.
3. What are the Factors of 1490?
Answer: Factors of 1490 are 1, 2, 5, 10, 149, 298, 745, 1490. There are 8 integers that are factors of 1490. The greatest factor of 1490 is 1490.
4. How to Find the GCF of 1485 and 1490?
Answer:
Greatest Common Factor of 1485 and 1490 = 5
Step 1: Find the prime factorization of 1485
1485 = 3 x 3 x 3 x 5 x 11
Step 2: Find the prime factorization of 1490
1490 = 2 x 5 x 149
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 1485 and 1490 is 5