What is the Greatest Common Factor of 81252 and 81267?

Greatest common factor (GCF) of 81252 and 81267 is 3.

GCF(81252,81267) = 3

We will now calculate the prime factors of 81252 and 81267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81252 and 81267.

How to find the GCF of 81252 and 81267?

We will first find the prime factorization of 81252 and 81267. After we will calculate the factors of 81252 and 81267 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 81267

Prime factors of 81267 are 3, 103, 263. Prime factorization of 81267 in exponential form is:

81267 = 3¹ × 103¹ × 263¹

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 81267

List of positive integer factors of 81267 that divides 81252 without a remainder.

1, 3, 103, 263, 309, 789, 27089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81252 and 81267. The biggest common factor number is the GCF number.
So the greatest common factor 81252 and 81267 is 3.

Also check out the Least Common Multiple of 81252 and 81267