Greatest Common Factor of 4364 and 4372

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 4364, 4372 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4364 and 4372 is 4.

GCF(4364,4372) = 4

GCF of 4364 and 4372

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

GCF of:
and

Greatest Common Factor of 4364 and 4372

GCF of 4364 and 4372 is 4

Prime Factorization of 4364


2 4364
2 2182
1091 1091
1

Prime factors of 4364 are 2,1091. Prime factorization of 4364 in exponential form is:

4364 = 22×10911

Prime Factorization of 4372


2 4372
2 2186
1093 1093
1

Prime factors of 4372 are 2,1093. Prime factorization of 4372 in exponential form is:

4372 = 22×10931

∴ So by taking common prime factors GCF of 4364 and 4372 is 4

Greatest Common Factor of 4364 and 4372 by matching factors method

Factors of 4364

List of positive integer factors of 4364 that divides 4364 without a remainder.

1,2,4,1091,2182,4364

Factors of 4372

List of positive integer factors of 4372 that divides 4372 without a remainder.

1,2,4,1093,2186,4372

Greatest Common Factor

We found the factors and prime factorization of 4364 and 4372. The biggest common factor number is the GCF number.
So the greatest common factor 4364 and 4372 is 4.

Also check out the Least Common Multiple of 4364 and 4372

Properties of GCF 4364 and 4372

(i) The GCF of 4364 and 4372 is associative

GCF of 4364 and 4372 = GCF of 4372 and 4364

Related Greatest Common Factor of 4364

Related Greatest Common Factor of 4372

Frequently Asked Questions on GCF of 4364 and 4372

1. What is the GCF of 4364 and 4372?

Answer: GCF of 4364 and 4372 is 4.

2. What are the Factors of 4364?

Answer: Factors of 4364 are 1, 2, 4, 1091, 2182, 4364. There are 6 integers that are factors of 4364. The greatest factor of 4364 is 4364.

3. What are the Factors of 4372?

Answer: Factors of 4372 are 1, 2, 4, 1093, 2186, 4372. There are 6 integers that are factors of 4372. The greatest factor of 4372 is 4372.

4. How to Find the GCF of 4364 and 4372?

Answer:

Greatest Common Factor of 4364 and 4372 = 4

Step 1: Find the prime factorization of 4364

4364 = 2 x 2 x 1091

Step 2: Find the prime factorization of 4372

4372 = 2 x 2 x 1093

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4364 and 4372 is 4