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 4386, 4394 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4386 and 4394 is 2.
GCF(4386,4394) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4386
2 | 4386 |
3 | 2193 |
17 | 731 |
43 | 43 |
1 |
Prime factors of 4386 are 2,3,17,43. Prime factorization of 4386 in exponential form is:
4386 = 21×31×171×431
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 4386 and 4394 is 2
Factors of 4386
List of positive integer factors of 4386 that divides 4386 without a remainder.
1,2,3,6,17,34,43,51,86,102,129,258,731,1462,2193,4386
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 4386 and 4394. The biggest common factor number is the GCF number.
So the greatest common factor 4386 and 4394 is 2.
Also check out the Least Common Multiple of 4386 and 4394
(i) The GCF of 4386 and 4394 is associative
GCF of 4386 and 4394 = GCF of 4394 and 4386
1. What is the GCF of 4386 and 4394?
Answer: GCF of 4386 and 4394 is 2.
2. What are the Factors of 4386?
Answer: Factors of 4386 are 1, 2, 3, 6, 17, 34, 43, 51, 86, 102, 129, 258, 731, 1462, 2193, 4386. There are 16 integers that are factors of 4386. The greatest factor of 4386 is 4386.
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 4386 and 4394?
Answer:
Greatest Common Factor of 4386 and 4394 = 2
Step 1: Find the prime factorization of 4386
4386 = 2 x 3 x 17 x 43
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 4386 and 4394 is 2