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 4365, 4367 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4365 and 4367 is 1.
GCF(4365,4367) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4365
3 | 4365 |
3 | 1455 |
5 | 485 |
97 | 97 |
1 |
Prime factors of 4365 are 3,5,97. Prime factorization of 4365 in exponential form is:
4365 = 32×51×971
Prime Factorization of 4367
11 | 4367 |
397 | 397 |
1 |
Prime factors of 4367 are 11,397. Prime factorization of 4367 in exponential form is:
4367 = 111×3971
∴ So by taking common prime factors GCF of 4365 and 4367 is 1
Factors of 4365
List of positive integer factors of 4365 that divides 4365 without a remainder.
1,3,5,9,15,45,97,291,485,873,1455,4365
Factors of 4367
List of positive integer factors of 4367 that divides 4367 without a remainder.
1,11,397,4367
Greatest Common Factor
We found the factors and prime factorization of 4365 and 4367. The biggest common factor number is the GCF number.
So the greatest common factor 4365 and 4367 is 1.
Also check out the Least Common Multiple of 4365 and 4367
(i) The GCF of 4365 and 4367 is associative
GCF of 4365 and 4367 = GCF of 4367 and 4365
1. What is the GCF of 4365 and 4367?
Answer: GCF of 4365 and 4367 is 1.
2. What are the Factors of 4365?
Answer: Factors of 4365 are 1, 3, 5, 9, 15, 45, 97, 291, 485, 873, 1455, 4365. There are 12 integers that are factors of 4365. The greatest factor of 4365 is 4365.
3. What are the Factors of 4367?
Answer: Factors of 4367 are 1, 11, 397, 4367. There are 4 integers that are factors of 4367. The greatest factor of 4367 is 4367.
4. How to Find the GCF of 4365 and 4367?
Answer:
Greatest Common Factor of 4365 and 4367 = 1
Step 1: Find the prime factorization of 4365
4365 = 3 x 3 x 5 x 97
Step 2: Find the prime factorization of 4367
4367 = 11 x 397
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 4365 and 4367 is 1