What is the Greatest Common Factor of 36342 and 36356?

Greatest common factor (GCF) of 36342 and 36356 is 2.

GCF(36342,36356) = 2

We will now calculate the prime factors of 36342 and 36356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36342 and 36356.

How to find the GCF of 36342 and 36356?

We will first find the prime factorization of 36342 and 36356. After we will calculate the factors of 36342 and 36356 and find the biggest common factor number .

Step-1: Prime Factorization of 36342

Prime factors of 36342 are 2, 3, 673. Prime factorization of 36342 in exponential form is:

36342 = 2¹ × 3³ × 673¹

Step-2: Prime Factorization of 36356

Prime factors of 36356 are 2, 61, 149. Prime factorization of 36356 in exponential form is:

36356 = 2² × 61¹ × 149¹

Step-3: Factors of 36342

List of positive integer factors of 36342 that divides 36342 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 673, 1346, 2019, 4038, 6057, 12114, 18171

Step-4: Factors of 36356

List of positive integer factors of 36356 that divides 36342 without a remainder.

1, 2, 4, 61, 122, 149, 244, 298, 596, 9089, 18178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36342 and 36356. The biggest common factor number is the GCF number.
So the greatest common factor 36342 and 36356 is 2.

Also check out the Least Common Multiple of 36342 and 36356