What is the Greatest Common Factor of 81472 and 81480?

Greatest common factor (GCF) of 81472 and 81480 is 8.

GCF(81472,81480) = 8

We will now calculate the prime factors of 81472 and 81480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81472 and 81480.

How to find the GCF of 81472 and 81480?

We will first find the prime factorization of 81472 and 81480. After we will calculate the factors of 81472 and 81480 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 81480

Prime factors of 81480 are 2, 3, 5, 7, 97. Prime factorization of 81480 in exponential form is:

81480 = 2³ × 3¹ × 5¹ × 7¹ × 97¹

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 81480

List of positive integer factors of 81480 that divides 81472 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 97, 105, 120, 140, 168, 194, 210, 280, 291, 388, 420, 485, 582, 679, 776, 840, 970, 1164, 1358, 1455, 1940, 2037, 2328, 2716, 2910, 3395, 3880, 4074, 5432, 5820, 6790, 8148, 10185, 11640, 13580, 16296, 20370, 27160, 40740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81472 and 81480. The biggest common factor number is the GCF number.
So the greatest common factor 81472 and 81480 is 8.

Also check out the Least Common Multiple of 81472 and 81480