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, 4429 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4425 and 4429 is 1.
GCF(4425,4429) = 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 4429
43 | 4429 |
103 | 103 |
1 |
Prime factors of 4429 are 43,103. Prime factorization of 4429 in exponential form is:
4429 = 431×1031
∴ So by taking common prime factors GCF of 4425 and 4429 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 4429
List of positive integer factors of 4429 that divides 4429 without a remainder.
1,43,103,4429
Greatest Common Factor
We found the factors and prime factorization of 4425 and 4429. The biggest common factor number is the GCF number.
So the greatest common factor 4425 and 4429 is 1.
Also check out the Least Common Multiple of 4425 and 4429
(i) The GCF of 4425 and 4429 is associative
GCF of 4425 and 4429 = GCF of 4429 and 4425
1. What is the GCF of 4425 and 4429?
Answer: GCF of 4425 and 4429 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 4429?
Answer: Factors of 4429 are 1, 43, 103, 4429. There are 4 integers that are factors of 4429. The greatest factor of 4429 is 4429.
4. How to Find the GCF of 4425 and 4429?
Answer:
Greatest Common Factor of 4425 and 4429 = 1
Step 1: Find the prime factorization of 4425
4425 = 3 x 5 x 5 x 59
Step 2: Find the prime factorization of 4429
4429 = 43 x 103
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 4429 is 1