Greatest Common Factor of 10366 and 10370

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 10366, 10370 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10366 and 10370 is 2.

GCF(10366,10370) = 2

GCF of 10366 and 10370

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

GCF of:
and

Greatest Common Factor of 10366 and 10370

GCF of 10366 and 10370 is 2

Prime Factorization of 10366


2 10366
71 5183
73 73
1

Prime factors of 10366 are 2,71,73. Prime factorization of 10366 in exponential form is:

10366 = 21×711×731

Prime Factorization of 10370


2 10370
5 5185
17 1037
61 61
1

Prime factors of 10370 are 2,5,17,61. Prime factorization of 10370 in exponential form is:

10370 = 21×51×171×611

∴ So by taking common prime factors GCF of 10366 and 10370 is 2

Greatest Common Factor of 10366 and 10370 by matching factors method

Factors of 10366

List of positive integer factors of 10366 that divides 10366 without a remainder.

1,2,71,73,142,146,5183,10366

Factors of 10370

List of positive integer factors of 10370 that divides 10370 without a remainder.

1,2,5,10,17,34,61,85,122,170,305,610,1037,2074,5185,10370

Greatest Common Factor

We found the factors and prime factorization of 10366 and 10370. The biggest common factor number is the GCF number.
So the greatest common factor 10366 and 10370 is 2.

Also check out the Least Common Multiple of 10366 and 10370

Properties of GCF 10366 and 10370

(i) The GCF of 10366 and 10370 is associative

GCF of 10366 and 10370 = GCF of 10370 and 10366

Related Greatest Common Factor of 10366

Related Greatest Common Factor of 10370

Frequently Asked Questions on GCF of 10366 and 10370

1. What is the GCF of 10366 and 10370?

Answer: GCF of 10366 and 10370 is 2.

2. What are the Factors of 10366?

Answer: Factors of 10366 are 1, 2, 71, 73, 142, 146, 5183, 10366. There are 8 integers that are factors of 10366. The greatest factor of 10366 is 10366.

3. What are the Factors of 10370?

Answer: Factors of 10370 are 1, 2, 5, 10, 17, 34, 61, 85, 122, 170, 305, 610, 1037, 2074, 5185, 10370. There are 16 integers that are factors of 10370. The greatest factor of 10370 is 10370.

4. How to Find the GCF of 10366 and 10370?

Answer:

Greatest Common Factor of 10366 and 10370 = 2

Step 1: Find the prime factorization of 10366

10366 = 2 x 71 x 73

Step 2: Find the prime factorization of 10370

10370 = 2 x 5 x 17 x 61

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 10366 and 10370 is 2