What is the Greatest Common Factor of 81480 and 81500?

Greatest common factor (GCF) of 81480 and 81500 is 20.

GCF(81480,81500) = 20

We will now calculate the prime factors of 81480 and 81500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81480 and 81500.

How to find the GCF of 81480 and 81500?

We will first find the prime factorization of 81480 and 81500. After we will calculate the factors of 81480 and 81500 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81500

Prime factors of 81500 are 2, 5, 163. Prime factorization of 81500 in exponential form is:

81500 = 2² × 5³ × 163¹

Step-3: Factors of 81480

List of positive integer factors of 81480 that divides 81480 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

Step-4: Factors of 81500

List of positive integer factors of 81500 that divides 81480 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 163, 250, 326, 500, 652, 815, 1630, 3260, 4075, 8150, 16300, 20375, 40750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81480 and 81500. The biggest common factor number is the GCF number.
So the greatest common factor 81480 and 81500 is 20.

Also check out the Least Common Multiple of 81480 and 81500