What is the Greatest Common Factor of 36218 and 36234?

Greatest common factor (GCF) of 36218 and 36234 is 2.

GCF(36218,36234) = 2

We will now calculate the prime factors of 36218 and 36234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36218 and 36234.

How to find the GCF of 36218 and 36234?

We will first find the prime factorization of 36218 and 36234. After we will calculate the factors of 36218 and 36234 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 36234

Prime factors of 36234 are 2, 3, 11, 61. Prime factorization of 36234 in exponential form is:

36234 = 2¹ × 3³ × 11¹ × 61¹

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 36234

List of positive integer factors of 36234 that divides 36218 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 61, 66, 99, 122, 183, 198, 297, 366, 549, 594, 671, 1098, 1342, 1647, 2013, 3294, 4026, 6039, 12078, 18117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36218 and 36234. The biggest common factor number is the GCF number.
So the greatest common factor 36218 and 36234 is 2.

Also check out the Least Common Multiple of 36218 and 36234