What is the Greatest Common Factor of 81456 and 81472?

Greatest common factor (GCF) of 81456 and 81472 is 16.

GCF(81456,81472) = 16

We will now calculate the prime factors of 81456 and 81472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81456 and 81472.

How to find the GCF of 81456 and 81472?

We will first find the prime factorization of 81456 and 81472. After we will calculate the factors of 81456 and 81472 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 81472

Prime factors of 81472 are 2, 19, 67. Prime factorization of 81472 in exponential form is:

81472 = 2⁶ × 19¹ × 67¹

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 81472

List of positive integer factors of 81472 that divides 81456 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 64, 67, 76, 134, 152, 268, 304, 536, 608, 1072, 1216, 1273, 2144, 2546, 4288, 5092, 10184, 20368, 40736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81456 and 81472. The biggest common factor number is the GCF number.
So the greatest common factor 81456 and 81472 is 16.

Also check out the Least Common Multiple of 81456 and 81472