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 4490, 4491 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4490 and 4491 is 1.
GCF(4490,4491) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4490
2 | 4490 |
5 | 2245 |
449 | 449 |
1 |
Prime factors of 4490 are 2,5,449. Prime factorization of 4490 in exponential form is:
4490 = 21×51×4491
Prime Factorization of 4491
3 | 4491 |
3 | 1497 |
499 | 499 |
1 |
Prime factors of 4491 are 3,499. Prime factorization of 4491 in exponential form is:
4491 = 32×4991
∴ So by taking common prime factors GCF of 4490 and 4491 is 1
Factors of 4490
List of positive integer factors of 4490 that divides 4490 without a remainder.
1,2,5,10,449,898,2245,4490
Factors of 4491
List of positive integer factors of 4491 that divides 4491 without a remainder.
1,3,9,499,1497,4491
Greatest Common Factor
We found the factors and prime factorization of 4490 and 4491. The biggest common factor number is the GCF number.
So the greatest common factor 4490 and 4491 is 1.
Also check out the Least Common Multiple of 4490 and 4491
(i) The GCF of 4490 and 4491 is associative
GCF of 4490 and 4491 = GCF of 4491 and 4490
1. What is the GCF of 4490 and 4491?
Answer: GCF of 4490 and 4491 is 1.
2. What are the Factors of 4490?
Answer: Factors of 4490 are 1, 2, 5, 10, 449, 898, 2245, 4490. There are 8 integers that are factors of 4490. The greatest factor of 4490 is 4490.
3. What are the Factors of 4491?
Answer: Factors of 4491 are 1, 3, 9, 499, 1497, 4491. There are 6 integers that are factors of 4491. The greatest factor of 4491 is 4491.
4. How to Find the GCF of 4490 and 4491?
Answer:
Greatest Common Factor of 4490 and 4491 = 1
Step 1: Find the prime factorization of 4490
4490 = 2 x 5 x 449
Step 2: Find the prime factorization of 4491
4491 = 3 x 3 x 499
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 4490 and 4491 is 1