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 4465, 4469 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4465 and 4469 is 1.
GCF(4465,4469) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4465
5 | 4465 |
19 | 893 |
47 | 47 |
1 |
Prime factors of 4465 are 5,19,47. Prime factorization of 4465 in exponential form is:
4465 = 51×191×471
Prime Factorization of 4469
41 | 4469 |
109 | 109 |
1 |
Prime factors of 4469 are 41,109. Prime factorization of 4469 in exponential form is:
4469 = 411×1091
∴ So by taking common prime factors GCF of 4465 and 4469 is 1
Factors of 4465
List of positive integer factors of 4465 that divides 4465 without a remainder.
1,5,19,47,95,235,893,4465
Factors of 4469
List of positive integer factors of 4469 that divides 4469 without a remainder.
1,41,109,4469
Greatest Common Factor
We found the factors and prime factorization of 4465 and 4469. The biggest common factor number is the GCF number.
So the greatest common factor 4465 and 4469 is 1.
Also check out the Least Common Multiple of 4465 and 4469
(i) The GCF of 4465 and 4469 is associative
GCF of 4465 and 4469 = GCF of 4469 and 4465
1. What is the GCF of 4465 and 4469?
Answer: GCF of 4465 and 4469 is 1.
2. What are the Factors of 4465?
Answer: Factors of 4465 are 1, 5, 19, 47, 95, 235, 893, 4465. There are 8 integers that are factors of 4465. The greatest factor of 4465 is 4465.
3. What are the Factors of 4469?
Answer: Factors of 4469 are 1, 41, 109, 4469. There are 4 integers that are factors of 4469. The greatest factor of 4469 is 4469.
4. How to Find the GCF of 4465 and 4469?
Answer:
Greatest Common Factor of 4465 and 4469 = 1
Step 1: Find the prime factorization of 4465
4465 = 5 x 19 x 47
Step 2: Find the prime factorization of 4469
4469 = 41 x 109
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 4465 and 4469 is 1