What is the Greatest Common Factor of 32190 and 32197?

Greatest common factor (GCF) of 32190 and 32197 is 1.

GCF(32190,32197) = 1

We will now calculate the prime factors of 32190 and 32197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32190 and 32197.

How to find the GCF of 32190 and 32197?

We will first find the prime factorization of 32190 and 32197. After we will calculate the factors of 32190 and 32197 and find the biggest common factor number .

Step-1: Prime Factorization of 32190

Prime factors of 32190 are 2, 3, 5, 29, 37. Prime factorization of 32190 in exponential form is:

32190 = 2¹ × 3¹ × 5¹ × 29¹ × 37¹

Step-2: Prime Factorization of 32197

Prime factors of 32197 are 11, 2927. Prime factorization of 32197 in exponential form is:

32197 = 11¹ × 2927¹

Step-3: Factors of 32190

List of positive integer factors of 32190 that divides 32190 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 37, 58, 74, 87, 111, 145, 174, 185, 222, 290, 370, 435, 555, 870, 1073, 1110, 2146, 3219, 5365, 6438, 10730, 16095

Step-4: Factors of 32197

List of positive integer factors of 32197 that divides 32190 without a remainder.

1, 11, 2927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32190 and 32197. The biggest common factor number is the GCF number.
So the greatest common factor 32190 and 32197 is 1.

Also check out the Least Common Multiple of 32190 and 32197