What is the Greatest Common Factor of 81459 and 81474?

Greatest common factor (GCF) of 81459 and 81474 is 3.

GCF(81459,81474) = 3

We will now calculate the prime factors of 81459 and 81474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81459 and 81474.

How to find the GCF of 81459 and 81474?

We will first find the prime factorization of 81459 and 81474. After we will calculate the factors of 81459 and 81474 and find the biggest common factor number .

Step-1: Prime Factorization of 81459

Prime factors of 81459 are 3, 7, 431. Prime factorization of 81459 in exponential form is:

81459 = 3³ × 7¹ × 431¹

Step-2: Prime Factorization of 81474

Prime factors of 81474 are 2, 3, 37, 367. Prime factorization of 81474 in exponential form is:

81474 = 2¹ × 3¹ × 37¹ × 367¹

Step-3: Factors of 81459

List of positive integer factors of 81459 that divides 81459 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 431, 1293, 3017, 3879, 9051, 11637, 27153

Step-4: Factors of 81474

List of positive integer factors of 81474 that divides 81459 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 367, 734, 1101, 2202, 13579, 27158, 40737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81459 and 81474. The biggest common factor number is the GCF number.
So the greatest common factor 81459 and 81474 is 3.

Also check out the Least Common Multiple of 81459 and 81474