What is the Greatest Common Factor of 81243 and 81252?

Greatest common factor (GCF) of 81243 and 81252 is 9.

GCF(81243,81252) = 9

We will now calculate the prime factors of 81243 and 81252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81243 and 81252.

How to find the GCF of 81243 and 81252?

We will first find the prime factorization of 81243 and 81252. After we will calculate the factors of 81243 and 81252 and find the biggest common factor number .

Step-1: Prime Factorization of 81243

Prime factors of 81243 are 3, 17, 59. Prime factorization of 81243 in exponential form is:

81243 = 3⁴ × 17¹ × 59¹

Step-2: Prime Factorization of 81252

Prime factors of 81252 are 2, 3, 37, 61. Prime factorization of 81252 in exponential form is:

81252 = 2² × 3² × 37¹ × 61¹

Step-3: Factors of 81243

List of positive integer factors of 81243 that divides 81243 without a remainder.

1, 3, 9, 17, 27, 51, 59, 81, 153, 177, 459, 531, 1003, 1377, 1593, 3009, 4779, 9027, 27081

Step-4: Factors of 81252

List of positive integer factors of 81252 that divides 81243 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 61, 74, 111, 122, 148, 183, 222, 244, 333, 366, 444, 549, 666, 732, 1098, 1332, 2196, 2257, 4514, 6771, 9028, 13542, 20313, 27084, 40626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81243 and 81252. The biggest common factor number is the GCF number.
So the greatest common factor 81243 and 81252 is 9.

Also check out the Least Common Multiple of 81243 and 81252