What is the Greatest Common Factor of 81294 and 81306?

Greatest common factor (GCF) of 81294 and 81306 is 6.

GCF(81294,81306) = 6

We will now calculate the prime factors of 81294 and 81306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81294 and 81306.

How to find the GCF of 81294 and 81306?

We will first find the prime factorization of 81294 and 81306. After we will calculate the factors of 81294 and 81306 and find the biggest common factor number .

Step-1: Prime Factorization of 81294

Prime factors of 81294 are 2, 3, 17, 797. Prime factorization of 81294 in exponential form is:

81294 = 2¹ × 3¹ × 17¹ × 797¹

Step-2: Prime Factorization of 81306

Prime factors of 81306 are 2, 3, 4517. Prime factorization of 81306 in exponential form is:

81306 = 2¹ × 3² × 4517¹

Step-3: Factors of 81294

List of positive integer factors of 81294 that divides 81294 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 797, 1594, 2391, 4782, 13549, 27098, 40647

Step-4: Factors of 81306

List of positive integer factors of 81306 that divides 81294 without a remainder.

1, 2, 3, 6, 9, 18, 4517, 9034, 13551, 27102, 40653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81294 and 81306. The biggest common factor number is the GCF number.
So the greatest common factor 81294 and 81306 is 6.

Also check out the Least Common Multiple of 81294 and 81306