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 4667, 4675 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4667 and 4675 is 1.
GCF(4667,4675) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4667
13 | 4667 |
359 | 359 |
1 |
Prime factors of 4667 are 13,359. Prime factorization of 4667 in exponential form is:
4667 = 131×3591
Prime Factorization of 4675
5 | 4675 |
5 | 935 |
11 | 187 |
17 | 17 |
1 |
Prime factors of 4675 are 5,11,17. Prime factorization of 4675 in exponential form is:
4675 = 52×111×171
∴ So by taking common prime factors GCF of 4667 and 4675 is 1
Factors of 4667
List of positive integer factors of 4667 that divides 4667 without a remainder.
1,13,359,4667
Factors of 4675
List of positive integer factors of 4675 that divides 4675 without a remainder.
1,5,11,17,25,55,85,187,275,425,935,4675
Greatest Common Factor
We found the factors and prime factorization of 4667 and 4675. The biggest common factor number is the GCF number.
So the greatest common factor 4667 and 4675 is 1.
Also check out the Least Common Multiple of 4667 and 4675
(i) The GCF of 4667 and 4675 is associative
GCF of 4667 and 4675 = GCF of 4675 and 4667
1. What is the GCF of 4667 and 4675?
Answer: GCF of 4667 and 4675 is 1.
2. What are the Factors of 4667?
Answer: Factors of 4667 are 1, 13, 359, 4667. There are 4 integers that are factors of 4667. The greatest factor of 4667 is 4667.
3. What are the Factors of 4675?
Answer: Factors of 4675 are 1, 5, 11, 17, 25, 55, 85, 187, 275, 425, 935, 4675. There are 12 integers that are factors of 4675. The greatest factor of 4675 is 4675.
4. How to Find the GCF of 4667 and 4675?
Answer:
Greatest Common Factor of 4667 and 4675 = 1
Step 1: Find the prime factorization of 4667
4667 = 13 x 359
Step 2: Find the prime factorization of 4675
4675 = 5 x 5 x 11 x 17
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 4667 and 4675 is 1