Greatest Common Factor of 11 and 12

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 11, 12 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11 and 12 is 1.

GCF(11,12) = 1

GCF of 11 and 12

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

GCF of:
and

Greatest Common Factor of 11 and 12

GCF of 11 and 12 is 1

Prime Factorization of 11


11 11
1

Prime factors of 11 are 11. Prime factorization of 11 in exponential form is:

11 = 111

Prime Factorization of 12


2 12
2 6
3 3
1

Prime factors of 12 are 2.Prime factorization of 12 in exponential form is:

12 = 22×31

∴ So by taking common prime factors GCF of 11 and 12 is 1

Greatest Common Factor of 11 and 12 by matching factors method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Greatest Common Factor

We found the factors and prime factorization of 11 and 12. The biggest common factor number is the GCF number.
So the greatest common factor 11 and 12 is 1.

Also check out the Least Common Multiple of 11 and 12

Properties of GCF 11 and 12

(i) The GCF of 11 and 12 is associative

GCF of 11 and 12 = GCF of 12 and 11

Related Greatest Common Factor of 11

Related Greatest Common Factor of 12

Frequently Asked Questions on GCF of 11 and 12

1. What is the GCF of 11 and 12?

Answer: GCF of 11 and 12 is 1.

2. What are the Factors of 11?

Answer: Factors of 11 are 1, 11. There are 2 integers that are factors of 11. The greatest factor of 11 is 11.

3. What are the Factors of 12?

Answer: Factors of 12 are 1, 2, 3, 4, 6, 12. There are 6 integers that are factors of 12. The greatest factor of 12 is 12.

4. How to Find the GCF of 11 and 12?

Answer:

Greatest Common Factor of 11 and 12 = 1

Step 1: Find the prime factorization of 11

11 = 11

Step 2: Find the prime factorization of 12

12 = 2 x 2 x 3

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 11 and 12 is 1