What is the Greatest Common Factor of 36195 and 36214?

Greatest common factor (GCF) of 36195 and 36214 is 19.

GCF(36195,36214) = 19

We will now calculate the prime factors of 36195 and 36214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36195 and 36214.

How to find the GCF of 36195 and 36214?

We will first find the prime factorization of 36195 and 36214. After we will calculate the factors of 36195 and 36214 and find the biggest common factor number .

Step-1: Prime Factorization of 36195

Prime factors of 36195 are 3, 5, 19, 127. Prime factorization of 36195 in exponential form is:

36195 = 3¹ × 5¹ × 19¹ × 127¹

Step-2: Prime Factorization of 36214

Prime factors of 36214 are 2, 19, 953. Prime factorization of 36214 in exponential form is:

36214 = 2¹ × 19¹ × 953¹

Step-3: Factors of 36195

List of positive integer factors of 36195 that divides 36195 without a remainder.

1, 3, 5, 15, 19, 57, 95, 127, 285, 381, 635, 1905, 2413, 7239, 12065

Step-4: Factors of 36214

List of positive integer factors of 36214 that divides 36195 without a remainder.

1, 2, 19, 38, 953, 1906, 18107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36195 and 36214. The biggest common factor number is the GCF number.
So the greatest common factor 36195 and 36214 is 19.

Also check out the Least Common Multiple of 36195 and 36214