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, 4422 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4415 and 4422 is 1.
GCF(4415,4422) = 1
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 4422
2 | 4422 |
3 | 2211 |
11 | 737 |
67 | 67 |
1 |
Prime factors of 4422 are 2,3,11,67. Prime factorization of 4422 in exponential form is:
4422 = 21×31×111×671
∴ So by taking common prime factors GCF of 4415 and 4422 is 1
Factors of 4415
List of positive integer factors of 4415 that divides 4415 without a remainder.
1,5,883,4415
Factors of 4422
List of positive integer factors of 4422 that divides 4422 without a remainder.
1,2,3,6,11,22,33,66,67,134,201,402,737,1474,2211,4422
Greatest Common Factor
We found the factors and prime factorization of 4415 and 4422. The biggest common factor number is the GCF number.
So the greatest common factor 4415 and 4422 is 1.
Also check out the Least Common Multiple of 4415 and 4422
(i) The GCF of 4415 and 4422 is associative
GCF of 4415 and 4422 = GCF of 4422 and 4415
1. What is the GCF of 4415 and 4422?
Answer: GCF of 4415 and 4422 is 1.
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 4422?
Answer: Factors of 4422 are 1, 2, 3, 6, 11, 22, 33, 66, 67, 134, 201, 402, 737, 1474, 2211, 4422. There are 16 integers that are factors of 4422. The greatest factor of 4422 is 4422.
4. How to Find the GCF of 4415 and 4422?
Answer:
Greatest Common Factor of 4415 and 4422 = 1
Step 1: Find the prime factorization of 4415
4415 = 5 x 883
Step 2: Find the prime factorization of 4422
4422 = 2 x 3 x 11 x 67
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 4415 and 4422 is 1