What is the Greatest Common Factor of 85485 and 85500?

Greatest common factor (GCF) of 85485 and 85500 is 15.

GCF(85485,85500) = 15

We will now calculate the prime factors of 85485 and 85500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85485 and 85500.

How to find the GCF of 85485 and 85500?

We will first find the prime factorization of 85485 and 85500. After we will calculate the factors of 85485 and 85500 and find the biggest common factor number .

Step-1: Prime Factorization of 85485

Prime factors of 85485 are 3, 5, 41, 139. Prime factorization of 85485 in exponential form is:

85485 = 3¹ × 5¹ × 41¹ × 139¹

Step-2: Prime Factorization of 85500

Prime factors of 85500 are 2, 3, 5, 19. Prime factorization of 85500 in exponential form is:

85500 = 2² × 3² × 5³ × 19¹

Step-3: Factors of 85485

List of positive integer factors of 85485 that divides 85485 without a remainder.

1, 3, 5, 15, 41, 123, 139, 205, 417, 615, 695, 2085, 5699, 17097, 28495

Step-4: Factors of 85500

List of positive integer factors of 85500 that divides 85485 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 25, 30, 36, 38, 45, 50, 57, 60, 75, 76, 90, 95, 100, 114, 125, 150, 171, 180, 190, 225, 228, 250, 285, 300, 342, 375, 380, 450, 475, 500, 570, 684, 750, 855, 900, 950, 1125, 1140, 1425, 1500, 1710, 1900, 2250, 2375, 2850, 3420, 4275, 4500, 4750, 5700, 7125, 8550, 9500, 14250, 17100, 21375, 28500, 42750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85485 and 85500. The biggest common factor number is the GCF number.
So the greatest common factor 85485 and 85500 is 15.

Also check out the Least Common Multiple of 85485 and 85500