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 4069, 4075 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4069 and 4075 is 1.
GCF(4069,4075) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4069
13 | 4069 |
313 | 313 |
1 |
Prime factors of 4069 are 13,313. Prime factorization of 4069 in exponential form is:
4069 = 131×3131
Prime Factorization of 4075
5 | 4075 |
5 | 815 |
163 | 163 |
1 |
Prime factors of 4075 are 5,163. Prime factorization of 4075 in exponential form is:
4075 = 52×1631
∴ So by taking common prime factors GCF of 4069 and 4075 is 1
Factors of 4069
List of positive integer factors of 4069 that divides 4069 without a remainder.
1,13,313,4069
Factors of 4075
List of positive integer factors of 4075 that divides 4075 without a remainder.
1,5,25,163,815,4075
Greatest Common Factor
We found the factors and prime factorization of 4069 and 4075. The biggest common factor number is the GCF number.
So the greatest common factor 4069 and 4075 is 1.
Also check out the Least Common Multiple of 4069 and 4075
(i) The GCF of 4069 and 4075 is associative
GCF of 4069 and 4075 = GCF of 4075 and 4069
1. What is the GCF of 4069 and 4075?
Answer: GCF of 4069 and 4075 is 1.
2. What are the Factors of 4069?
Answer: Factors of 4069 are 1, 13, 313, 4069. There are 4 integers that are factors of 4069. The greatest factor of 4069 is 4069.
3. What are the Factors of 4075?
Answer: Factors of 4075 are 1, 5, 25, 163, 815, 4075. There are 6 integers that are factors of 4075. The greatest factor of 4075 is 4075.
4. How to Find the GCF of 4069 and 4075?
Answer:
Greatest Common Factor of 4069 and 4075 = 1
Step 1: Find the prime factorization of 4069
4069 = 13 x 313
Step 2: Find the prime factorization of 4075
4075 = 5 x 5 x 163
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 4069 and 4075 is 1