Greatest Common Factor of 10266 and 10267

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 10266, 10267 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10266 and 10267 is 1.

GCF(10266,10267) = 1

GCF of 10266 and 10267

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

GCF of:
and

Greatest Common Factor of 10266 and 10267

GCF of 10266 and 10267 is 1

Prime Factorization of 10266


2 10266
3 5133
29 1711
59 59
1

Prime factors of 10266 are 2,3,29,59. Prime factorization of 10266 in exponential form is:

10266 = 21×31×291×591

Prime Factorization of 10267


10267 10267
1

Prime factors of 10267 are 10267. Prime factorization of 10267 in exponential form is:

10267 = 102671

∴ So by taking common prime factors GCF of 10266 and 10267 is 1

Greatest Common Factor of 10266 and 10267 by matching factors method

Factors of 10266

List of positive integer factors of 10266 that divides 10266 without a remainder.

1,2,3,6,29,58,59,87,118,174,177,354,1711,3422,5133,10266

Factors of 10267

List of positive integer factors of 10267 that divides 10267 without a remainder.

1,10267

Greatest Common Factor

We found the factors and prime factorization of 10266 and 10267. The biggest common factor number is the GCF number.
So the greatest common factor 10266 and 10267 is 1.

Also check out the Least Common Multiple of 10266 and 10267

Properties of GCF 10266 and 10267

(i) The GCF of 10266 and 10267 is associative

GCF of 10266 and 10267 = GCF of 10267 and 10266

Related Greatest Common Factor of 10266

Related Greatest Common Factor of 10267

Frequently Asked Questions on GCF of 10266 and 10267

1. What is the GCF of 10266 and 10267?

Answer: GCF of 10266 and 10267 is 1.

2. What are the Factors of 10266?

Answer: Factors of 10266 are 1, 2, 3, 6, 29, 58, 59, 87, 118, 174, 177, 354, 1711, 3422, 5133, 10266. There are 16 integers that are factors of 10266. The greatest factor of 10266 is 10266.

3. What are the Factors of 10267?

Answer: Factors of 10267 are 1, 10267. There are 2 integers that are factors of 10267. The greatest factor of 10267 is 10267.

4. How to Find the GCF of 10266 and 10267?

Answer:

Greatest Common Factor of 10266 and 10267 = 1

Step 1: Find the prime factorization of 10266

10266 = 2 x 3 x 29 x 59

Step 2: Find the prime factorization of 10267

10267 = 10267

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 10266 and 10267 is 1