What is the Greatest Common Factor of 92214 and 92232?

Greatest common factor (GCF) of 92214 and 92232 is 18.

GCF(92214,92232) = 18

We will now calculate the prime factors of 92214 and 92232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92214 and 92232.

How to find the GCF of 92214 and 92232?

We will first find the prime factorization of 92214 and 92232. After we will calculate the factors of 92214 and 92232 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92232

Prime factors of 92232 are 2, 3, 7, 61. Prime factorization of 92232 in exponential form is:

92232 = 2³ × 3³ × 7¹ × 61¹

Step-3: Factors of 92214

List of positive integer factors of 92214 that divides 92214 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

Step-4: Factors of 92232

List of positive integer factors of 92232 that divides 92214 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 61, 63, 72, 84, 108, 122, 126, 168, 183, 189, 216, 244, 252, 366, 378, 427, 488, 504, 549, 732, 756, 854, 1098, 1281, 1464, 1512, 1647, 1708, 2196, 2562, 3294, 3416, 3843, 4392, 5124, 6588, 7686, 10248, 11529, 13176, 15372, 23058, 30744, 46116

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92214 and 92232. The biggest common factor number is the GCF number.
So the greatest common factor 92214 and 92232 is 18.

Also check out the Least Common Multiple of 92214 and 92232