Greatest Common Factor of 1262 and 1267

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 1262, 1267 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1262 and 1267 is 1.

GCF(1262,1267) = 1

GCF of 1262 and 1267

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

GCF of:
and

Greatest Common Factor of 1262 and 1267

GCF of 1262 and 1267 is 1

Prime Factorization of 1262


2 1262
631 631
1

Prime factors of 1262 are 2,631. Prime factorization of 1262 in exponential form is:

1262 = 21×6311

Prime Factorization of 1267


7 1267
181 181
1

Prime factors of 1267 are 7,181. Prime factorization of 1267 in exponential form is:

1267 = 71×1811

∴ So by taking common prime factors GCF of 1262 and 1267 is 1

Greatest Common Factor of 1262 and 1267 by matching factors method

Factors of 1262

List of positive integer factors of 1262 that divides 1262 without a remainder.

1,2,631,1262

Factors of 1267

List of positive integer factors of 1267 that divides 1267 without a remainder.

1,7,181,1267

Greatest Common Factor

We found the factors and prime factorization of 1262 and 1267. The biggest common factor number is the GCF number.
So the greatest common factor 1262 and 1267 is 1.

Also check out the Least Common Multiple of 1262 and 1267

Properties of GCF 1262 and 1267

(i) The GCF of 1262 and 1267 is associative

GCF of 1262 and 1267 = GCF of 1267 and 1262

Related Greatest Common Factor of 1262

Related Greatest Common Factor of 1267

Frequently Asked Questions on GCF of 1262 and 1267

1. What is the GCF of 1262 and 1267?

Answer: GCF of 1262 and 1267 is 1.

2. What are the Factors of 1262?

Answer: Factors of 1262 are 1, 2, 631, 1262. There are 4 integers that are factors of 1262. The greatest factor of 1262 is 1262.

3. What are the Factors of 1267?

Answer: Factors of 1267 are 1, 7, 181, 1267. There are 4 integers that are factors of 1267. The greatest factor of 1267 is 1267.

4. How to Find the GCF of 1262 and 1267?

Answer:

Greatest Common Factor of 1262 and 1267 = 1

Step 1: Find the prime factorization of 1262

1262 = 2 x 631

Step 2: Find the prime factorization of 1267

1267 = 7 x 181

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 1262 and 1267 is 1