What is the Greatest Common Factor of 81450 and 81470?

Greatest common factor (GCF) of 81450 and 81470 is 10.

GCF(81450,81470) = 10

We will now calculate the prime factors of 81450 and 81470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81450 and 81470.

How to find the GCF of 81450 and 81470?

We will first find the prime factorization of 81450 and 81470. After we will calculate the factors of 81450 and 81470 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 81470

Prime factors of 81470 are 2, 5, 8147. Prime factorization of 81470 in exponential form is:

81470 = 2¹ × 5¹ × 8147¹

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 81470

List of positive integer factors of 81470 that divides 81450 without a remainder.

1, 2, 5, 10, 8147, 16294, 40735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81450 and 81470. The biggest common factor number is the GCF number.
So the greatest common factor 81450 and 81470 is 10.

Also check out the Least Common Multiple of 81450 and 81470