What is the Greatest Common Factor of 11067 and 11079?

Greatest common factor (GCF) of 11067 and 11079 is 3.

GCF(11067,11079) = 3

We will now calculate the prime factors of 11067 and 11079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11067 and 11079.

How to find the GCF of 11067 and 11079?

We will first find the prime factorization of 11067 and 11079. After we will calculate the factors of 11067 and 11079 and find the biggest common factor number .

Step-1: Prime Factorization of 11067

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

11067 = 3¹ × 7¹ × 17¹ × 31¹

Step-2: Prime Factorization of 11079

Prime factors of 11079 are 3, 1231. Prime factorization of 11079 in exponential form is:

11079 = 3² × 1231¹

Step-3: 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

Step-4: Factors of 11079

List of positive integer factors of 11079 that divides 11067 without a remainder.

1, 3, 9, 1231, 3693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11067 and 11079. The biggest common factor number is the GCF number.
So the greatest common factor 11067 and 11079 is 3.

Also check out the Least Common Multiple of 11067 and 11079