Greatest Common Factor of 11061 and 11067

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 11061, 11067 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11061 and 11067 is 3.

GCF(11061,11067) = 3

GCF of 11061 and 11067

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

GCF of:
and

Greatest Common Factor of 11061 and 11067

GCF of 11061 and 11067 is 3

Prime Factorization of 11061


3 11061
3 3687
1229 1229
1

Prime factors of 11061 are 3,1229. Prime factorization of 11061 in exponential form is:

11061 = 32×12291

Prime Factorization of 11067


3 11067
7 3689
17 527
31 31
1

Prime factors of 11067 are 3,7,17,31. Prime factorization of 11067 in exponential form is:

11067 = 31×71×171×311

∴ So by taking common prime factors GCF of 11061 and 11067 is 3

Greatest Common Factor of 11061 and 11067 by matching factors method

Factors of 11061

List of positive integer factors of 11061 that divides 11061 without a remainder.

1,3,9,1229,3687,11061

Factors of 11067

List of positive integer factors of 11067 that divides 11067 without a remainder.

1,3,7,17,21,31,51,93,119,217,357,527,651,1581,3689,11067

Greatest Common Factor

We found the factors and prime factorization of 11061 and 11067. The biggest common factor number is the GCF number.
So the greatest common factor 11061 and 11067 is 3.

Also check out the Least Common Multiple of 11061 and 11067

Properties of GCF 11061 and 11067

(i) The GCF of 11061 and 11067 is associative

GCF of 11061 and 11067 = GCF of 11067 and 11061

Related Greatest Common Factor of 11061

Related Greatest Common Factor of 11067

Frequently Asked Questions on GCF of 11061 and 11067

1. What is the GCF of 11061 and 11067?

Answer: GCF of 11061 and 11067 is 3.

2. What are the Factors of 11061?

Answer: Factors of 11061 are 1, 3, 9, 1229, 3687, 11061. There are 6 integers that are factors of 11061. The greatest factor of 11061 is 11061.

3. What are the Factors of 11067?

Answer: Factors of 11067 are 1, 3, 7, 17, 21, 31, 51, 93, 119, 217, 357, 527, 651, 1581, 3689, 11067. There are 16 integers that are factors of 11067. The greatest factor of 11067 is 11067.

4. How to Find the GCF of 11061 and 11067?

Answer:

Greatest Common Factor of 11061 and 11067 = 3

Step 1: Find the prime factorization of 11061

11061 = 3 x 3 x 1229

Step 2: Find the prime factorization of 11067

11067 = 3 x 7 x 17 x 31

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 11061 and 11067 is 3