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 4415, 4420 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4415 and 4420 is 5.
GCF(4415,4420) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4415
5 | 4415 |
883 | 883 |
1 |
Prime factors of 4415 are 5,883. Prime factorization of 4415 in exponential form is:
4415 = 51×8831
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 4415 and 4420 is 5
Factors of 4415
List of positive integer factors of 4415 that divides 4415 without a remainder.
1,5,883,4415
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 4415 and 4420. The biggest common factor number is the GCF number.
So the greatest common factor 4415 and 4420 is 5.
Also check out the Least Common Multiple of 4415 and 4420
(i) The GCF of 4415 and 4420 is associative
GCF of 4415 and 4420 = GCF of 4420 and 4415
1. What is the GCF of 4415 and 4420?
Answer: GCF of 4415 and 4420 is 5.
2. What are the Factors of 4415?
Answer: Factors of 4415 are 1, 5, 883, 4415. There are 4 integers that are factors of 4415. The greatest factor of 4415 is 4415.
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 4415 and 4420?
Answer:
Greatest Common Factor of 4415 and 4420 = 5
Step 1: Find the prime factorization of 4415
4415 = 5 x 883
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 = 5
Step 4: Therefore, the greatest common factor of 4415 and 4420 is 5