Greatest Common Factor of 1266 and 1271

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 1266, 1271 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1266 and 1271 is 1.

GCF(1266,1271) = 1

GCF of 1266 and 1271

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

GCF of:
and

Greatest Common Factor of 1266 and 1271

GCF of 1266 and 1271 is 1

Prime Factorization of 1266


2 1266
3 633
211 211
1

Prime factors of 1266 are 2,3,211. Prime factorization of 1266 in exponential form is:

1266 = 21×31×2111

Prime Factorization of 1271


31 1271
41 41
1

Prime factors of 1271 are 31,41. Prime factorization of 1271 in exponential form is:

1271 = 311×411

∴ So by taking common prime factors GCF of 1266 and 1271 is 1

Greatest Common Factor of 1266 and 1271 by matching factors method

Factors of 1266

List of positive integer factors of 1266 that divides 1266 without a remainder.

1,2,3,6,211,422,633,1266

Factors of 1271

List of positive integer factors of 1271 that divides 1271 without a remainder.

1,31,41,1271

Greatest Common Factor

We found the factors and prime factorization of 1266 and 1271. The biggest common factor number is the GCF number.
So the greatest common factor 1266 and 1271 is 1.

Also check out the Least Common Multiple of 1266 and 1271

Properties of GCF 1266 and 1271

(i) The GCF of 1266 and 1271 is associative

GCF of 1266 and 1271 = GCF of 1271 and 1266

Related Greatest Common Factor of 1266

Related Greatest Common Factor of 1271

Frequently Asked Questions on GCF of 1266 and 1271

1. What is the GCF of 1266 and 1271?

Answer: GCF of 1266 and 1271 is 1.

2. What are the Factors of 1266?

Answer: Factors of 1266 are 1, 2, 3, 6, 211, 422, 633, 1266. There are 8 integers that are factors of 1266. The greatest factor of 1266 is 1266.

3. What are the Factors of 1271?

Answer: Factors of 1271 are 1, 31, 41, 1271. There are 4 integers that are factors of 1271. The greatest factor of 1271 is 1271.

4. How to Find the GCF of 1266 and 1271?

Answer:

Greatest Common Factor of 1266 and 1271 = 1

Step 1: Find the prime factorization of 1266

1266 = 2 x 3 x 211

Step 2: Find the prime factorization of 1271

1271 = 31 x 41

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 1266 and 1271 is 1