What is the Greatest Common Factor of 36201 and 36212?

Greatest common factor (GCF) of 36201 and 36212 is 11.

GCF(36201,36212) = 11

We will now calculate the prime factors of 36201 and 36212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36201 and 36212.

How to find the GCF of 36201 and 36212?

We will first find the prime factorization of 36201 and 36212. After we will calculate the factors of 36201 and 36212 and find the biggest common factor number .

Step-1: Prime Factorization of 36201

Prime factors of 36201 are 3, 11, 1097. Prime factorization of 36201 in exponential form is:

36201 = 3¹ × 11¹ × 1097¹

Step-2: Prime Factorization of 36212

Prime factors of 36212 are 2, 11, 823. Prime factorization of 36212 in exponential form is:

36212 = 2² × 11¹ × 823¹

Step-3: Factors of 36201

List of positive integer factors of 36201 that divides 36201 without a remainder.

1, 3, 11, 33, 1097, 3291, 12067

Step-4: Factors of 36212

List of positive integer factors of 36212 that divides 36201 without a remainder.

1, 2, 4, 11, 22, 44, 823, 1646, 3292, 9053, 18106

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36201 and 36212. The biggest common factor number is the GCF number.
So the greatest common factor 36201 and 36212 is 11.

Also check out the Least Common Multiple of 36201 and 36212