What is the Greatest Common Factor of 81472 and 81482?

Greatest common factor (GCF) of 81472 and 81482 is 2.

GCF(81472,81482) = 2

We will now calculate the prime factors of 81472 and 81482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81472 and 81482.

How to find the GCF of 81472 and 81482?

We will first find the prime factorization of 81472 and 81482. After we will calculate the factors of 81472 and 81482 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81482

Prime factors of 81482 are 2, 131, 311. Prime factorization of 81482 in exponential form is:

81482 = 2¹ × 131¹ × 311¹

Step-3: Factors of 81472

List of positive integer factors of 81472 that divides 81472 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

Step-4: Factors of 81482

List of positive integer factors of 81482 that divides 81472 without a remainder.

1, 2, 131, 262, 311, 622, 40741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81472 and 81482. The biggest common factor number is the GCF number.
So the greatest common factor 81472 and 81482 is 2.

Also check out the Least Common Multiple of 81472 and 81482