What is the Greatest Common Factor of 81264 and 81279?

Greatest common factor (GCF) of 81264 and 81279 is 3.

GCF(81264,81279) = 3

We will now calculate the prime factors of 81264 and 81279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81264 and 81279.

How to find the GCF of 81264 and 81279?

We will first find the prime factorization of 81264 and 81279. After we will calculate the factors of 81264 and 81279 and find the biggest common factor number .

Step-1: Prime Factorization of 81264

Prime factors of 81264 are 2, 3, 1693. Prime factorization of 81264 in exponential form is:

81264 = 2⁴ × 3¹ × 1693¹

Step-2: Prime Factorization of 81279

Prime factors of 81279 are 3, 11, 821. Prime factorization of 81279 in exponential form is:

81279 = 3² × 11¹ × 821¹

Step-3: Factors of 81264

List of positive integer factors of 81264 that divides 81264 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1693, 3386, 5079, 6772, 10158, 13544, 20316, 27088, 40632

Step-4: Factors of 81279

List of positive integer factors of 81279 that divides 81264 without a remainder.

1, 3, 9, 11, 33, 99, 821, 2463, 7389, 9031, 27093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81264 and 81279. The biggest common factor number is the GCF number.
So the greatest common factor 81264 and 81279 is 3.

Also check out the Least Common Multiple of 81264 and 81279