Greatest Common Factor of 20366 and 20370

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 20366, 20370 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 20366 and 20370 is 2.

GCF(20366,20370) = 2

GCF of 20366 and 20370

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

GCF of:
and

Greatest Common Factor of 20366 and 20370

GCF of 20366 and 20370 is 2

Prime Factorization of 20366


2 20366
17 10183
599 599
1

Prime factors of 20366 are 2,17,599. Prime factorization of 20366 in exponential form is:

20366 = 21×171×5991

Prime Factorization of 20370


2 20370
3 10185
5 3395
7 679
97 97
1

Prime factors of 20370 are 2,3,5,7,97. Prime factorization of 20370 in exponential form is:

20370 = 21×31×51×71×971

∴ So by taking common prime factors GCF of 20366 and 20370 is 2

Greatest Common Factor of 20366 and 20370 by matching factors method

Factors of 20366

List of positive integer factors of 20366 that divides 20366 without a remainder.

1,2,17,34,599,1198,10183,20366

Factors of 20370

List of positive integer factors of 20370 that divides 20370 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,97,105,194,210,291,485,582,679,970,1358,1455,2037,2910,3395,4074,6790,10185,20370

Greatest Common Factor

We found the factors and prime factorization of 20366 and 20370. The biggest common factor number is the GCF number.
So the greatest common factor 20366 and 20370 is 2.

Also check out the Least Common Multiple of 20366 and 20370

Properties of GCF 20366 and 20370

(i) The GCF of 20366 and 20370 is associative

GCF of 20366 and 20370 = GCF of 20370 and 20366

Related Greatest Common Factor of 20366

Related Greatest Common Factor of 20370

Frequently Asked Questions on GCF of 20366 and 20370

1. What is the GCF of 20366 and 20370?

Answer: GCF of 20366 and 20370 is 2.

2. What are the Factors of 20366?

Answer: Factors of 20366 are 1, 2, 17, 34, 599, 1198, 10183, 20366. There are 8 integers that are factors of 20366. The greatest factor of 20366 is 20366.

3. What are the Factors of 20370?

Answer: Factors of 20370 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 97, 105, 194, 210, 291, 485, 582, 679, 970, 1358, 1455, 2037, 2910, 3395, 4074, 6790, 10185, 20370. There are 32 integers that are factors of 20370. The greatest factor of 20370 is 20370.

4. How to Find the GCF of 20366 and 20370?

Answer:

Greatest Common Factor of 20366 and 20370 = 2

Step 1: Find the prime factorization of 20366

20366 = 2 x 17 x 599

Step 2: Find the prime factorization of 20370

20370 = 2 x 3 x 5 x 7 x 97

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 20366 and 20370 is 2