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 4418, 4420 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4418 and 4420 is 2.
GCF(4418,4420) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4418
2 | 4418 |
47 | 2209 |
47 | 47 |
1 |
Prime factors of 4418 are 2,47. Prime factorization of 4418 in exponential form is:
4418 = 21×472
Prime Factorization of 4420
2 | 4420 |
2 | 2210 |
5 | 1105 |
13 | 221 |
17 | 17 |
1 |
Prime factors of 4420 are 2,5,13,17. Prime factorization of 4420 in exponential form is:
4420 = 22×51×131×171
∴ So by taking common prime factors GCF of 4418 and 4420 is 2
Factors of 4418
List of positive integer factors of 4418 that divides 4418 without a remainder.
1,2,47,94,2209,4418
Factors of 4420
List of positive integer factors of 4420 that divides 4420 without a remainder.
1,2,4,5,10,13,17,20,26,34,52,65,68,85,130,170,221,260,340,442,884,1105,2210,4420
Greatest Common Factor
We found the factors and prime factorization of 4418 and 4420. The biggest common factor number is the GCF number.
So the greatest common factor 4418 and 4420 is 2.
Also check out the Least Common Multiple of 4418 and 4420
(i) The GCF of 4418 and 4420 is associative
GCF of 4418 and 4420 = GCF of 4420 and 4418
1. What is the GCF of 4418 and 4420?
Answer: GCF of 4418 and 4420 is 2.
2. What are the Factors of 4418?
Answer: Factors of 4418 are 1, 2, 47, 94, 2209, 4418. There are 6 integers that are factors of 4418. The greatest factor of 4418 is 4418.
3. What are the Factors of 4420?
Answer: Factors of 4420 are 1, 2, 4, 5, 10, 13, 17, 20, 26, 34, 52, 65, 68, 85, 130, 170, 221, 260, 340, 442, 884, 1105, 2210, 4420. There are 24 integers that are factors of 4420. The greatest factor of 4420 is 4420.
4. How to Find the GCF of 4418 and 4420?
Answer:
Greatest Common Factor of 4418 and 4420 = 2
Step 1: Find the prime factorization of 4418
4418 = 2 x 47 x 47
Step 2: Find the prime factorization of 4420
4420 = 2 x 2 x 5 x 13 x 17
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 4418 and 4420 is 2