What is the Greatest Common Factor of 36211 and 36218?

Greatest common factor (GCF) of 36211 and 36218 is 7.

GCF(36211,36218) = 7

We will now calculate the prime factors of 36211 and 36218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36211 and 36218.

How to find the GCF of 36211 and 36218?

We will first find the prime factorization of 36211 and 36218. After we will calculate the factors of 36211 and 36218 and find the biggest common factor number .

Step-1: Prime Factorization of 36211

Prime factors of 36211 are 7, 739. Prime factorization of 36211 in exponential form is:

36211 = 7² × 739¹

Step-2: 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-3: Factors of 36211

List of positive integer factors of 36211 that divides 36211 without a remainder.

1, 7, 49, 739, 5173

Step-4: Factors of 36218

List of positive integer factors of 36218 that divides 36211 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36211 and 36218. The biggest common factor number is the GCF number.
So the greatest common factor 36211 and 36218 is 7.

Also check out the Least Common Multiple of 36211 and 36218