Greatest Common Factor of 4374 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 4374, 4378 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4374 and 4378 is 2.

GCF(4374,4378) = 2

GCF of 4374 and 4378

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

GCF of:
and

Greatest Common Factor of 4374 and 4378

GCF of 4374 and 4378 is 2

Prime Factorization of 4374


2 4374
3 2187
3 729
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 4374 are 2,3. Prime factorization of 4374 in exponential form is:

4374 = 21×37

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 4374 and 4378 is 2

Greatest Common Factor of 4374 and 4378 by matching factors method

Factors of 4374

List of positive integer factors of 4374 that divides 4374 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486,729,1458,2187,4374

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 4374 and 4378. The biggest common factor number is the GCF number.
So the greatest common factor 4374 and 4378 is 2.

Also check out the Least Common Multiple of 4374 and 4378

Properties of GCF 4374 and 4378

(i) The GCF of 4374 and 4378 is associative

GCF of 4374 and 4378 = GCF of 4378 and 4374

Related Greatest Common Factor of 4374

Related Greatest Common Factor of 4378

Frequently Asked Questions on GCF of 4374 and 4378

1. What is the GCF of 4374 and 4378?

Answer: GCF of 4374 and 4378 is 2.

2. What are the Factors of 4374?

Answer: Factors of 4374 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187, 4374. There are 16 integers that are factors of 4374. The greatest factor of 4374 is 4374.

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 4374 and 4378?

Answer:

Greatest Common Factor of 4374 and 4378 = 2

Step 1: Find the prime factorization of 4374

4374 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3

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 4374 and 4378 is 2