Greatest Common Factor of 1266 and 1273

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, 1273 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1266 and 1273 is 1.

GCF(1266,1273) = 1

GCF of 1266 and 1273

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

GCF of:
and

Greatest Common Factor of 1266 and 1273

GCF of 1266 and 1273 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 1273


19 1273
67 67
1

Prime factors of 1273 are 19,67. Prime factorization of 1273 in exponential form is:

1273 = 191×671

∴ So by taking common prime factors GCF of 1266 and 1273 is 1

Greatest Common Factor of 1266 and 1273 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 1273

List of positive integer factors of 1273 that divides 1273 without a remainder.

1,19,67,1273

Greatest Common Factor

We found the factors and prime factorization of 1266 and 1273. The biggest common factor number is the GCF number.
So the greatest common factor 1266 and 1273 is 1.

Also check out the Least Common Multiple of 1266 and 1273

Properties of GCF 1266 and 1273

(i) The GCF of 1266 and 1273 is associative

GCF of 1266 and 1273 = GCF of 1273 and 1266

Related Greatest Common Factor of 1266

Related Greatest Common Factor of 1273

Frequently Asked Questions on GCF of 1266 and 1273

1. What is the GCF of 1266 and 1273?

Answer: GCF of 1266 and 1273 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 1273?

Answer: Factors of 1273 are 1, 19, 67, 1273. There are 4 integers that are factors of 1273. The greatest factor of 1273 is 1273.

4. How to Find the GCF of 1266 and 1273?

Answer:

Greatest Common Factor of 1266 and 1273 = 1

Step 1: Find the prime factorization of 1266

1266 = 2 x 3 x 211

Step 2: Find the prime factorization of 1273

1273 = 19 x 67

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 1273 is 1