What is the Greatest Common Factor of 81467 and 81480?

Greatest common factor (GCF) of 81467 and 81480 is 1.

GCF(81467,81480) = 1

We will now calculate the prime factors of 81467 and 81480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81467 and 81480.

How to find the GCF of 81467 and 81480?

We will first find the prime factorization of 81467 and 81480. After we will calculate the factors of 81467 and 81480 and find the biggest common factor number .

Step-1: Prime Factorization of 81467

Prime factors of 81467 are 41, 1987. Prime factorization of 81467 in exponential form is:

81467 = 41¹ × 1987¹

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 81467

List of positive integer factors of 81467 that divides 81467 without a remainder.

1, 41, 1987

Step-4: Factors of 81480

List of positive integer factors of 81480 that divides 81467 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 81467 and 81480. The biggest common factor number is the GCF number.
So the greatest common factor 81467 and 81480 is 1.

Also check out the Least Common Multiple of 81467 and 81480