What is the Greatest Common Factor of 11406 and 11412?

Greatest common factor (GCF) of 11406 and 11412 is 6.

GCF(11406,11412) = 6

We will now calculate the prime factors of 11406 and 11412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11406 and 11412.

How to find the GCF of 11406 and 11412?

We will first find the prime factorization of 11406 and 11412. After we will calculate the factors of 11406 and 11412 and find the biggest common factor number .

Step-1: Prime Factorization of 11406

Prime factors of 11406 are 2, 3, 1901. Prime factorization of 11406 in exponential form is:

11406 = 2¹ × 3¹ × 1901¹

Step-2: Prime Factorization of 11412

Prime factors of 11412 are 2, 3, 317. Prime factorization of 11412 in exponential form is:

11412 = 2² × 3² × 317¹

Step-3: Factors of 11406

List of positive integer factors of 11406 that divides 11406 without a remainder.

1, 2, 3, 6, 1901, 3802, 5703

Step-4: Factors of 11412

List of positive integer factors of 11412 that divides 11406 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 317, 634, 951, 1268, 1902, 2853, 3804, 5706

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11406 and 11412. The biggest common factor number is the GCF number.
So the greatest common factor 11406 and 11412 is 6.

Also check out the Least Common Multiple of 11406 and 11412