What is the Greatest Common Factor of 36218 and 36230?

Greatest common factor (GCF) of 36218 and 36230 is 2.

GCF(36218,36230) = 2

We will now calculate the prime factors of 36218 and 36230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36218 and 36230.

How to find the GCF of 36218 and 36230?

We will first find the prime factorization of 36218 and 36230. After we will calculate the factors of 36218 and 36230 and find the biggest common factor number .

Step-1: Prime Factorization of 36218

Prime factors of 36218 are 2, 7, 13, 199. Prime factorization of 36218 in exponential form is:

36218 = 2¹ × 7¹ × 13¹ × 199¹

Step-2: Prime Factorization of 36230

Prime factors of 36230 are 2, 5, 3623. Prime factorization of 36230 in exponential form is:

36230 = 2¹ × 5¹ × 3623¹

Step-3: Factors of 36218

List of positive integer factors of 36218 that divides 36218 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 199, 398, 1393, 2587, 2786, 5174, 18109

Step-4: Factors of 36230

List of positive integer factors of 36230 that divides 36218 without a remainder.

1, 2, 5, 10, 3623, 7246, 18115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36218 and 36230. The biggest common factor number is the GCF number.
So the greatest common factor 36218 and 36230 is 2.

Also check out the Least Common Multiple of 36218 and 36230