What is the Greatest Common Factor of 81249 and 81267?

Greatest common factor (GCF) of 81249 and 81267 is 3.

GCF(81249,81267) = 3

We will now calculate the prime factors of 81249 and 81267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81249 and 81267.

How to find the GCF of 81249 and 81267?

We will first find the prime factorization of 81249 and 81267. After we will calculate the factors of 81249 and 81267 and find the biggest common factor number .

Step-1: Prime Factorization of 81249

Prime factors of 81249 are 3, 7, 53, 73. Prime factorization of 81249 in exponential form is:

81249 = 3¹ × 7¹ × 53¹ × 73¹

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 81249

List of positive integer factors of 81249 that divides 81249 without a remainder.

1, 3, 7, 21, 53, 73, 159, 219, 371, 511, 1113, 1533, 3869, 11607, 27083

Step-4: Factors of 81267

List of positive integer factors of 81267 that divides 81249 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81249 and 81267. The biggest common factor number is the GCF number.
So the greatest common factor 81249 and 81267 is 3.

Also check out the Least Common Multiple of 81249 and 81267