What is the Greatest Common Factor of 36406 and 36412?

Greatest common factor (GCF) of 36406 and 36412 is 2.

GCF(36406,36412) = 2

We will now calculate the prime factors of 36406 and 36412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36406 and 36412.

How to find the GCF of 36406 and 36412?

We will first find the prime factorization of 36406 and 36412. After we will calculate the factors of 36406 and 36412 and find the biggest common factor number .

Step-1: Prime Factorization of 36406

Prime factors of 36406 are 2, 109, 167. Prime factorization of 36406 in exponential form is:

36406 = 2¹ × 109¹ × 167¹

Step-2: Prime Factorization of 36412

Prime factors of 36412 are 2, 9103. Prime factorization of 36412 in exponential form is:

36412 = 2² × 9103¹

Step-3: Factors of 36406

List of positive integer factors of 36406 that divides 36406 without a remainder.

1, 2, 109, 167, 218, 334, 18203

Step-4: Factors of 36412

List of positive integer factors of 36412 that divides 36406 without a remainder.

1, 2, 4, 9103, 18206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36406 and 36412. The biggest common factor number is the GCF number.
So the greatest common factor 36406 and 36412 is 2.

Also check out the Least Common Multiple of 36406 and 36412