Greatest Common Factor of 4365 and 4371

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, 4371 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4365 and 4371 is 3.

GCF(4365,4371) = 3

GCF of 4365 and 4371

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

GCF of:
and

Greatest Common Factor of 4365 and 4371

GCF of 4365 and 4371 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 4371


3 4371
31 1457
47 47
1

Prime factors of 4371 are 3,31,47. Prime factorization of 4371 in exponential form is:

4371 = 31×311×471

∴ So by taking common prime factors GCF of 4365 and 4371 is 3

Greatest Common Factor of 4365 and 4371 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 4371

List of positive integer factors of 4371 that divides 4371 without a remainder.

1,3,31,47,93,141,1457,4371

Greatest Common Factor

We found the factors and prime factorization of 4365 and 4371. The biggest common factor number is the GCF number.
So the greatest common factor 4365 and 4371 is 3.

Also check out the Least Common Multiple of 4365 and 4371

Properties of GCF 4365 and 4371

(i) The GCF of 4365 and 4371 is associative

GCF of 4365 and 4371 = GCF of 4371 and 4365

Related Greatest Common Factor of 4365

Related Greatest Common Factor of 4371

Frequently Asked Questions on GCF of 4365 and 4371

1. What is the GCF of 4365 and 4371?

Answer: GCF of 4365 and 4371 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 4371?

Answer: Factors of 4371 are 1, 3, 31, 47, 93, 141, 1457, 4371. There are 8 integers that are factors of 4371. The greatest factor of 4371 is 4371.

4. How to Find the GCF of 4365 and 4371?

Answer:

Greatest Common Factor of 4365 and 4371 = 3

Step 1: Find the prime factorization of 4365

4365 = 3 x 3 x 5 x 97

Step 2: Find the prime factorization of 4371

4371 = 3 x 31 x 47

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 4371 is 3