What is the Greatest Common Factor of 92190 and 92205?

Greatest common factor (GCF) of 92190 and 92205 is 15.

GCF(92190,92205) = 15

We will now calculate the prime factors of 92190 and 92205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92190 and 92205.

How to find the GCF of 92190 and 92205?

We will first find the prime factorization of 92190 and 92205. After we will calculate the factors of 92190 and 92205 and find the biggest common factor number .

Step-1: Prime Factorization of 92190

Prime factors of 92190 are 2, 3, 5, 7, 439. Prime factorization of 92190 in exponential form is:

92190 = 2¹ × 3¹ × 5¹ × 7¹ × 439¹

Step-2: Prime Factorization of 92205

Prime factors of 92205 are 3, 5, 683. Prime factorization of 92205 in exponential form is:

92205 = 3³ × 5¹ × 683¹

Step-3: Factors of 92190

List of positive integer factors of 92190 that divides 92190 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 439, 878, 1317, 2195, 2634, 3073, 4390, 6146, 6585, 9219, 13170, 15365, 18438, 30730, 46095

Step-4: Factors of 92205

List of positive integer factors of 92205 that divides 92190 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 683, 2049, 3415, 6147, 10245, 18441, 30735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92190 and 92205. The biggest common factor number is the GCF number.
So the greatest common factor 92190 and 92205 is 15.

Also check out the Least Common Multiple of 92190 and 92205