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 4484, 4490 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4484 and 4490 is 2.
GCF(4484,4490) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4484
2 | 4484 |
2 | 2242 |
19 | 1121 |
59 | 59 |
1 |
Prime factors of 4484 are 2,19,59. Prime factorization of 4484 in exponential form is:
4484 = 22×191×591
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
∴ So by taking common prime factors GCF of 4484 and 4490 is 2
Factors of 4484
List of positive integer factors of 4484 that divides 4484 without a remainder.
1,2,4,19,38,59,76,118,236,1121,2242,4484
Factors of 4490
List of positive integer factors of 4490 that divides 4490 without a remainder.
1,2,5,10,449,898,2245,4490
Greatest Common Factor
We found the factors and prime factorization of 4484 and 4490. The biggest common factor number is the GCF number.
So the greatest common factor 4484 and 4490 is 2.
Also check out the Least Common Multiple of 4484 and 4490
(i) The GCF of 4484 and 4490 is associative
GCF of 4484 and 4490 = GCF of 4490 and 4484
1. What is the GCF of 4484 and 4490?
Answer: GCF of 4484 and 4490 is 2.
2. What are the Factors of 4484?
Answer: Factors of 4484 are 1, 2, 4, 19, 38, 59, 76, 118, 236, 1121, 2242, 4484. There are 12 integers that are factors of 4484. The greatest factor of 4484 is 4484.
3. 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.
4. How to Find the GCF of 4484 and 4490?
Answer:
Greatest Common Factor of 4484 and 4490 = 2
Step 1: Find the prime factorization of 4484
4484 = 2 x 2 x 19 x 59
Step 2: Find the prime factorization of 4490
4490 = 2 x 5 x 449
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 4484 and 4490 is 2