What is the Greatest Common Factor of 92225 and 92232?

Greatest common factor (GCF) of 92225 and 92232 is 7.

GCF(92225,92232) = 7

We will now calculate the prime factors of 92225 and 92232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92225 and 92232.

How to find the GCF of 92225 and 92232?

We will first find the prime factorization of 92225 and 92232. After we will calculate the factors of 92225 and 92232 and find the biggest common factor number .

Step-1: Prime Factorization of 92225

Prime factors of 92225 are 5, 7, 17, 31. Prime factorization of 92225 in exponential form is:

92225 = 5² × 7¹ × 17¹ × 31¹

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 92225

List of positive integer factors of 92225 that divides 92225 without a remainder.

1, 5, 7, 17, 25, 31, 35, 85, 119, 155, 175, 217, 425, 527, 595, 775, 1085, 2635, 2975, 3689, 5425, 13175, 18445

Step-4: Factors of 92232

List of positive integer factors of 92232 that divides 92225 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 92225 and 92232. The biggest common factor number is the GCF number.
So the greatest common factor 92225 and 92232 is 7.

Also check out the Least Common Multiple of 92225 and 92232