What is the Greatest Common Factor of 92205 and 92214?

Greatest common factor (GCF) of 92205 and 92214 is 9.

GCF(92205,92214) = 9

We will now calculate the prime factors of 92205 and 92214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92205 and 92214.

How to find the GCF of 92205 and 92214?

We will first find the prime factorization of 92205 and 92214. After we will calculate the factors of 92205 and 92214 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92214

Prime factors of 92214 are 2, 3, 47, 109. Prime factorization of 92214 in exponential form is:

92214 = 2¹ × 3² × 47¹ × 109¹

Step-3: Factors of 92205

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

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

Step-4: Factors of 92214

List of positive integer factors of 92214 that divides 92205 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 109, 141, 218, 282, 327, 423, 654, 846, 981, 1962, 5123, 10246, 15369, 30738, 46107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92205 and 92214. The biggest common factor number is the GCF number.
So the greatest common factor 92205 and 92214 is 9.

Also check out the Least Common Multiple of 92205 and 92214