Greatest Common Factor of 10261 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 10261, 10267 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10261 and 10267 is 1.

GCF(10261,10267) = 1

GCF of 10261 and 10267

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

GCF of:
and

Greatest Common Factor of 10261 and 10267

GCF of 10261 and 10267 is 1

Prime Factorization of 10261


31 10261
331 331
1

Prime factors of 10261 are 31,331. Prime factorization of 10261 in exponential form is:

10261 = 311×3311

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 10261 and 10267 is 1

Greatest Common Factor of 10261 and 10267 by matching factors method

Factors of 10261

List of positive integer factors of 10261 that divides 10261 without a remainder.

1,31,331,10261

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 10261 and 10267. The biggest common factor number is the GCF number.
So the greatest common factor 10261 and 10267 is 1.

Also check out the Least Common Multiple of 10261 and 10267

Properties of GCF 10261 and 10267

(i) The GCF of 10261 and 10267 is associative

GCF of 10261 and 10267 = GCF of 10267 and 10261

Related Greatest Common Factor of 10261

Related Greatest Common Factor of 10267

Frequently Asked Questions on GCF of 10261 and 10267

1. What is the GCF of 10261 and 10267?

Answer: GCF of 10261 and 10267 is 1.

2. What are the Factors of 10261?

Answer: Factors of 10261 are 1, 31, 331, 10261. There are 4 integers that are factors of 10261. The greatest factor of 10261 is 10261.

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 10261 and 10267?

Answer:

Greatest Common Factor of 10261 and 10267 = 1

Step 1: Find the prime factorization of 10261

10261 = 31 x 331

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 10261 and 10267 is 1