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 4425, 4433 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4425 and 4433 is 1.
GCF(4425,4433) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4425
3 | 4425 |
5 | 1475 |
5 | 295 |
59 | 59 |
1 |
Prime factors of 4425 are 3,5,59. Prime factorization of 4425 in exponential form is:
4425 = 31×52×591
Prime Factorization of 4433
11 | 4433 |
13 | 403 |
31 | 31 |
1 |
Prime factors of 4433 are 11,13,31. Prime factorization of 4433 in exponential form is:
4433 = 111×131×311
∴ So by taking common prime factors GCF of 4425 and 4433 is 1
Factors of 4425
List of positive integer factors of 4425 that divides 4425 without a remainder.
1,3,5,15,25,59,75,177,295,885,1475,4425
Factors of 4433
List of positive integer factors of 4433 that divides 4433 without a remainder.
1,11,13,31,143,341,403,4433
Greatest Common Factor
We found the factors and prime factorization of 4425 and 4433. The biggest common factor number is the GCF number.
So the greatest common factor 4425 and 4433 is 1.
Also check out the Least Common Multiple of 4425 and 4433
(i) The GCF of 4425 and 4433 is associative
GCF of 4425 and 4433 = GCF of 4433 and 4425
1. What is the GCF of 4425 and 4433?
Answer: GCF of 4425 and 4433 is 1.
2. What are the Factors of 4425?
Answer: Factors of 4425 are 1, 3, 5, 15, 25, 59, 75, 177, 295, 885, 1475, 4425. There are 12 integers that are factors of 4425. The greatest factor of 4425 is 4425.
3. What are the Factors of 4433?
Answer: Factors of 4433 are 1, 11, 13, 31, 143, 341, 403, 4433. There are 8 integers that are factors of 4433. The greatest factor of 4433 is 4433.
4. How to Find the GCF of 4425 and 4433?
Answer:
Greatest Common Factor of 4425 and 4433 = 1
Step 1: Find the prime factorization of 4425
4425 = 3 x 5 x 5 x 59
Step 2: Find the prime factorization of 4433
4433 = 11 x 13 x 31
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 4425 and 4433 is 1