Greatest Common Factor of 4365 and 4368

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, 4368 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4365 and 4368 is 3.

GCF(4365,4368) = 3

GCF of 4365 and 4368

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

GCF of:
and

Greatest Common Factor of 4365 and 4368

GCF of 4365 and 4368 is 3

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 4368


2 4368
2 2184
2 1092
2 546
3 273
7 91
13 13
1

Prime factors of 4368 are 2,3,7,13. Prime factorization of 4368 in exponential form is:

4368 = 24×31×71×131

∴ So by taking common prime factors GCF of 4365 and 4368 is 3

Greatest Common Factor of 4365 and 4368 by matching factors method

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 4368

List of positive integer factors of 4368 that divides 4368 without a remainder.

1,2,3,4,6,7,8,12,13,14,16,21,24,26,28,39,42,48,52,56,78,84,91,104,112,156,168,182,208,273,312,336,364,546,624,728,1092,1456,2184,4368

Greatest Common Factor

We found the factors and prime factorization of 4365 and 4368. The biggest common factor number is the GCF number.
So the greatest common factor 4365 and 4368 is 3.

Also check out the Least Common Multiple of 4365 and 4368

Properties of GCF 4365 and 4368

(i) The GCF of 4365 and 4368 is associative

GCF of 4365 and 4368 = GCF of 4368 and 4365

Related Greatest Common Factor of 4365

Related Greatest Common Factor of 4368

Frequently Asked Questions on GCF of 4365 and 4368

1. What is the GCF of 4365 and 4368?

Answer: GCF of 4365 and 4368 is 3.

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 4368?

Answer: Factors of 4368 are 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 39, 42, 48, 52, 56, 78, 84, 91, 104, 112, 156, 168, 182, 208, 273, 312, 336, 364, 546, 624, 728, 1092, 1456, 2184, 4368. There are 40 integers that are factors of 4368. The greatest factor of 4368 is 4368.

4. How to Find the GCF of 4365 and 4368?

Answer:

Greatest Common Factor of 4365 and 4368 = 3

Step 1: Find the prime factorization of 4365

4365 = 3 x 3 x 5 x 97

Step 2: Find the prime factorization of 4368

4368 = 2 x 2 x 2 x 2 x 3 x 7 x 13

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 4365 and 4368 is 3