What is the Greatest Common Factor of 81450 and 81466?

Greatest common factor (GCF) of 81450 and 81466 is 2.

GCF(81450,81466) = 2

We will now calculate the prime factors of 81450 and 81466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81450 and 81466.

How to find the GCF of 81450 and 81466?

We will first find the prime factorization of 81450 and 81466. After we will calculate the factors of 81450 and 81466 and find the biggest common factor number .

Step-1: Prime Factorization of 81450

Prime factors of 81450 are 2, 3, 5, 181. Prime factorization of 81450 in exponential form is:

81450 = 2¹ × 3² × 5² × 181¹

Step-2: Prime Factorization of 81466

Prime factors of 81466 are 2, 7, 11, 23. Prime factorization of 81466 in exponential form is:

81466 = 2¹ × 7¹ × 11¹ × 23²

Step-3: Factors of 81450

List of positive integer factors of 81450 that divides 81450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 181, 225, 362, 450, 543, 905, 1086, 1629, 1810, 2715, 3258, 4525, 5430, 8145, 9050, 13575, 16290, 27150, 40725

Step-4: Factors of 81466

List of positive integer factors of 81466 that divides 81450 without a remainder.

1, 2, 7, 11, 14, 22, 23, 46, 77, 154, 161, 253, 322, 506, 529, 1058, 1771, 3542, 3703, 5819, 7406, 11638, 40733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81450 and 81466. The biggest common factor number is the GCF number.
So the greatest common factor 81450 and 81466 is 2.

Also check out the Least Common Multiple of 81450 and 81466