Greatest Common Factor of 4378 and 4382

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 4378, 4382 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4378 and 4382 is 2.

GCF(4378,4382) = 2

GCF of 4378 and 4382

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

GCF of:
and

Greatest Common Factor of 4378 and 4382

GCF of 4378 and 4382 is 2

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

Prime Factorization of 4382


2 4382
7 2191
313 313
1

Prime factors of 4382 are 2,7,313. Prime factorization of 4382 in exponential form is:

4382 = 21×71×3131

∴ So by taking common prime factors GCF of 4378 and 4382 is 2

Greatest Common Factor of 4378 and 4382 by matching factors method

Factors of 4378

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

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

Factors of 4382

List of positive integer factors of 4382 that divides 4382 without a remainder.

1,2,7,14,313,626,2191,4382

Greatest Common Factor

We found the factors and prime factorization of 4378 and 4382. The biggest common factor number is the GCF number.
So the greatest common factor 4378 and 4382 is 2.

Also check out the Least Common Multiple of 4378 and 4382

Properties of GCF 4378 and 4382

(i) The GCF of 4378 and 4382 is associative

GCF of 4378 and 4382 = GCF of 4382 and 4378

Related Greatest Common Factor of 4378

Related Greatest Common Factor of 4382

Frequently Asked Questions on GCF of 4378 and 4382

1. What is the GCF of 4378 and 4382?

Answer: GCF of 4378 and 4382 is 2.

2. 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.

3. What are the Factors of 4382?

Answer: Factors of 4382 are 1, 2, 7, 14, 313, 626, 2191, 4382. There are 8 integers that are factors of 4382. The greatest factor of 4382 is 4382.

4. How to Find the GCF of 4378 and 4382?

Answer:

Greatest Common Factor of 4378 and 4382 = 2

Step 1: Find the prime factorization of 4378

4378 = 2 x 11 x 199

Step 2: Find the prime factorization of 4382

4382 = 2 x 7 x 313

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 4378 and 4382 is 2