Greatest Common Factor of 4362 and 4365

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 4362, 4365 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4362 and 4365 is 3.

GCF(4362,4365) = 3

GCF of 4362 and 4365

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 4362 and 4365

GCF of 4362 and 4365 is 3

Prime Factorization of 4362


2 4362
3 2181
727 727
1

Prime factors of 4362 are 2,3,727. Prime factorization of 4362 in exponential form is:

4362 = 21×31×7271

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

∴ So by taking common prime factors GCF of 4362 and 4365 is 3

Greatest Common Factor of 4362 and 4365 by matching factors method

Factors of 4362

List of positive integer factors of 4362 that divides 4362 without a remainder.

1,2,3,6,727,1454,2181,4362

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

Greatest Common Factor

We found the factors and prime factorization of 4362 and 4365. The biggest common factor number is the GCF number.
So the greatest common factor 4362 and 4365 is 3.

Also check out the Least Common Multiple of 4362 and 4365

Properties of GCF 4362 and 4365

(i) The GCF of 4362 and 4365 is associative

GCF of 4362 and 4365 = GCF of 4365 and 4362

Related Greatest Common Factor of 4362

Related Greatest Common Factor of 4365

Frequently Asked Questions on GCF of 4362 and 4365

1. What is the GCF of 4362 and 4365?

Answer: GCF of 4362 and 4365 is 3.

2. What are the Factors of 4362?

Answer: Factors of 4362 are 1, 2, 3, 6, 727, 1454, 2181, 4362. There are 8 integers that are factors of 4362. The greatest factor of 4362 is 4362.

3. 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.

4. How to Find the GCF of 4362 and 4365?

Answer:

Greatest Common Factor of 4362 and 4365 = 3

Step 1: Find the prime factorization of 4362

4362 = 2 x 3 x 727

Step 2: Find the prime factorization of 4365

4365 = 3 x 3 x 5 x 97

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 4362 and 4365 is 3