What is the Greatest Common Factor of 36218 and 36237?

Greatest common factor (GCF) of 36218 and 36237 is 1.

GCF(36218,36237) = 1

We will now calculate the prime factors of 36218 and 36237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36218 and 36237.

How to find the GCF of 36218 and 36237?

We will first find the prime factorization of 36218 and 36237. After we will calculate the factors of 36218 and 36237 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 36237

Prime factors of 36237 are 3, 47, 257. Prime factorization of 36237 in exponential form is:

36237 = 3¹ × 47¹ × 257¹

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 36237

List of positive integer factors of 36237 that divides 36218 without a remainder.

1, 3, 47, 141, 257, 771, 12079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36218 and 36237. The biggest common factor number is the GCF number.
So the greatest common factor 36218 and 36237 is 1.

Also check out the Least Common Multiple of 36218 and 36237