What is the Greatest Common Factor of 81665 and 81672?

Greatest common factor (GCF) of 81665 and 81672 is 1.

GCF(81665,81672) = 1

We will now calculate the prime factors of 81665 and 81672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81665 and 81672.

How to find the GCF of 81665 and 81672?

We will first find the prime factorization of 81665 and 81672. After we will calculate the factors of 81665 and 81672 and find the biggest common factor number .

Step-1: Prime Factorization of 81665

Prime factors of 81665 are 5, 16333. Prime factorization of 81665 in exponential form is:

81665 = 5¹ × 16333¹

Step-2: Prime Factorization of 81672

Prime factors of 81672 are 2, 3, 41, 83. Prime factorization of 81672 in exponential form is:

81672 = 2³ × 3¹ × 41¹ × 83¹

Step-3: Factors of 81665

List of positive integer factors of 81665 that divides 81665 without a remainder.

1, 5, 16333

Step-4: Factors of 81672

List of positive integer factors of 81672 that divides 81665 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 83, 123, 164, 166, 246, 249, 328, 332, 492, 498, 664, 984, 996, 1992, 3403, 6806, 10209, 13612, 20418, 27224, 40836

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81665 and 81672. The biggest common factor number is the GCF number.
So the greatest common factor 81665 and 81672 is 1.

Also check out the Least Common Multiple of 81665 and 81672