What is the Greatest Common Factor of 36350 and 36368?

Greatest common factor (GCF) of 36350 and 36368 is 2.

GCF(36350,36368) = 2

We will now calculate the prime factors of 36350 and 36368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36350 and 36368.

How to find the GCF of 36350 and 36368?

We will first find the prime factorization of 36350 and 36368. After we will calculate the factors of 36350 and 36368 and find the biggest common factor number .

Step-1: Prime Factorization of 36350

Prime factors of 36350 are 2, 5, 727. Prime factorization of 36350 in exponential form is:

36350 = 2¹ × 5² × 727¹

Step-2: Prime Factorization of 36368

Prime factors of 36368 are 2, 2273. Prime factorization of 36368 in exponential form is:

36368 = 2⁴ × 2273¹

Step-3: Factors of 36350

List of positive integer factors of 36350 that divides 36350 without a remainder.

1, 2, 5, 10, 25, 50, 727, 1454, 3635, 7270, 18175

Step-4: Factors of 36368

List of positive integer factors of 36368 that divides 36350 without a remainder.

1, 2, 4, 8, 16, 2273, 4546, 9092, 18184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36350 and 36368. The biggest common factor number is the GCF number.
So the greatest common factor 36350 and 36368 is 2.

Also check out the Least Common Multiple of 36350 and 36368