What is the Greatest Common Factor of 81456 and 81470?

Greatest common factor (GCF) of 81456 and 81470 is 2.

GCF(81456,81470) = 2

We will now calculate the prime factors of 81456 and 81470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81456 and 81470.

How to find the GCF of 81456 and 81470?

We will first find the prime factorization of 81456 and 81470. After we will calculate the factors of 81456 and 81470 and find the biggest common factor number .

Step-1: Prime Factorization of 81456

Prime factors of 81456 are 2, 3, 1697. Prime factorization of 81456 in exponential form is:

81456 = 2⁴ × 3¹ × 1697¹

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 81456

List of positive integer factors of 81456 that divides 81456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1697, 3394, 5091, 6788, 10182, 13576, 20364, 27152, 40728

Step-4: Factors of 81470

List of positive integer factors of 81470 that divides 81456 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81456 and 81470. The biggest common factor number is the GCF number.
So the greatest common factor 81456 and 81470 is 2.

Also check out the Least Common Multiple of 81456 and 81470