Greatest Common Factor of 4388 and 4394

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 4388, 4394 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4388 and 4394 is 2.

GCF(4388,4394) = 2

GCF of 4388 and 4394

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

GCF of:
and

Greatest Common Factor of 4388 and 4394

GCF of 4388 and 4394 is 2

Prime Factorization of 4388


2 4388
2 2194
1097 1097
1

Prime factors of 4388 are 2,1097. Prime factorization of 4388 in exponential form is:

4388 = 22×10971

Prime Factorization of 4394


2 4394
13 2197
13 169
13 13
1

Prime factors of 4394 are 2,13. Prime factorization of 4394 in exponential form is:

4394 = 21×133

∴ So by taking common prime factors GCF of 4388 and 4394 is 2

Greatest Common Factor of 4388 and 4394 by matching factors method

Factors of 4388

List of positive integer factors of 4388 that divides 4388 without a remainder.

1,2,4,1097,2194,4388

Factors of 4394

List of positive integer factors of 4394 that divides 4394 without a remainder.

1,2,13,26,169,338,2197,4394

Greatest Common Factor

We found the factors and prime factorization of 4388 and 4394. The biggest common factor number is the GCF number.
So the greatest common factor 4388 and 4394 is 2.

Also check out the Least Common Multiple of 4388 and 4394

Properties of GCF 4388 and 4394

(i) The GCF of 4388 and 4394 is associative

GCF of 4388 and 4394 = GCF of 4394 and 4388

Frequently Asked Questions on GCF of 4388 and 4394

1. What is the GCF of 4388 and 4394?

Answer: GCF of 4388 and 4394 is 2.

2. What are the Factors of 4388?

Answer: Factors of 4388 are 1, 2, 4, 1097, 2194, 4388. There are 6 integers that are factors of 4388. The greatest factor of 4388 is 4388.

3. What are the Factors of 4394?

Answer: Factors of 4394 are 1, 2, 13, 26, 169, 338, 2197, 4394. There are 8 integers that are factors of 4394. The greatest factor of 4394 is 4394.

4. How to Find the GCF of 4388 and 4394?

Answer:

Greatest Common Factor of 4388 and 4394 = 2

Step 1: Find the prime factorization of 4388

4388 = 2 x 2 x 1097

Step 2: Find the prime factorization of 4394

4394 = 2 x 13 x 13 x 13

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 4388 and 4394 is 2