What is the Greatest Common Factor of 81252 and 81266?

Greatest common factor (GCF) of 81252 and 81266 is 2.

GCF(81252,81266) = 2

We will now calculate the prime factors of 81252 and 81266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81252 and 81266.

How to find the GCF of 81252 and 81266?

We will first find the prime factorization of 81252 and 81266. After we will calculate the factors of 81252 and 81266 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81266

Prime factors of 81266 are 2, 179, 227. Prime factorization of 81266 in exponential form is:

81266 = 2¹ × 179¹ × 227¹

Step-3: Factors of 81252

List of positive integer factors of 81252 that divides 81252 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

Step-4: Factors of 81266

List of positive integer factors of 81266 that divides 81252 without a remainder.

1, 2, 179, 227, 358, 454, 40633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81252 and 81266. The biggest common factor number is the GCF number.
So the greatest common factor 81252 and 81266 is 2.

Also check out the Least Common Multiple of 81252 and 81266