What is the Greatest Common Factor of 82431 and 82446?

Greatest common factor (GCF) of 82431 and 82446 is 3.

GCF(82431,82446) = 3

We will now calculate the prime factors of 82431 and 82446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82431 and 82446.

How to find the GCF of 82431 and 82446?

We will first find the prime factorization of 82431 and 82446. After we will calculate the factors of 82431 and 82446 and find the biggest common factor number .

Step-1: Prime Factorization of 82431

Prime factors of 82431 are 3, 43, 71. Prime factorization of 82431 in exponential form is:

82431 = 3³ × 43¹ × 71¹

Step-2: Prime Factorization of 82446

Prime factors of 82446 are 2, 3, 7, 13, 151. Prime factorization of 82446 in exponential form is:

82446 = 2¹ × 3¹ × 7¹ × 13¹ × 151¹

Step-3: Factors of 82431

List of positive integer factors of 82431 that divides 82431 without a remainder.

1, 3, 9, 27, 43, 71, 129, 213, 387, 639, 1161, 1917, 3053, 9159, 27477

Step-4: Factors of 82446

List of positive integer factors of 82446 that divides 82431 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 151, 182, 273, 302, 453, 546, 906, 1057, 1963, 2114, 3171, 3926, 5889, 6342, 11778, 13741, 27482, 41223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82431 and 82446. The biggest common factor number is the GCF number.
So the greatest common factor 82431 and 82446 is 3.

Also check out the Least Common Multiple of 82431 and 82446