Greatest Common Factor of 4372 and 4378

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 4372, 4378 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4372 and 4378 is 2.

GCF(4372,4378) = 2

GCF of 4372 and 4378

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

GCF of:
and

Greatest Common Factor of 4372 and 4378

GCF of 4372 and 4378 is 2

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

Prime Factorization of 4378


2 4378
11 2189
199 199
1

Prime factors of 4378 are 2,11,199. Prime factorization of 4378 in exponential form is:

4378 = 21×111×1991

∴ So by taking common prime factors GCF of 4372 and 4378 is 2

Greatest Common Factor of 4372 and 4378 by matching factors method

Factors of 4372

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

1,2,4,1093,2186,4372

Factors of 4378

List of positive integer factors of 4378 that divides 4378 without a remainder.

1,2,11,22,199,398,2189,4378

Greatest Common Factor

We found the factors and prime factorization of 4372 and 4378. The biggest common factor number is the GCF number.
So the greatest common factor 4372 and 4378 is 2.

Also check out the Least Common Multiple of 4372 and 4378

Properties of GCF 4372 and 4378

(i) The GCF of 4372 and 4378 is associative

GCF of 4372 and 4378 = GCF of 4378 and 4372

Related Greatest Common Factor of 4372

Related Greatest Common Factor of 4378

Frequently Asked Questions on GCF of 4372 and 4378

1. What is the GCF of 4372 and 4378?

Answer: GCF of 4372 and 4378 is 2.

2. 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.

3. What are the Factors of 4378?

Answer: Factors of 4378 are 1, 2, 11, 22, 199, 398, 2189, 4378. There are 8 integers that are factors of 4378. The greatest factor of 4378 is 4378.

4. How to Find the GCF of 4372 and 4378?

Answer:

Greatest Common Factor of 4372 and 4378 = 2

Step 1: Find the prime factorization of 4372

4372 = 2 x 2 x 1093

Step 2: Find the prime factorization of 4378

4378 = 2 x 11 x 199

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4372 and 4378 is 2