What is the Greatest Common Factor of 85500 and 85515?

Greatest common factor (GCF) of 85500 and 85515 is 15.

GCF(85500,85515) = 15

We will now calculate the prime factors of 85500 and 85515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85500 and 85515.

How to find the GCF of 85500 and 85515?

We will first find the prime factorization of 85500 and 85515. After we will calculate the factors of 85500 and 85515 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85515

Prime factors of 85515 are 3, 5, 5701. Prime factorization of 85515 in exponential form is:

85515 = 3¹ × 5¹ × 5701¹

Step-3: Factors of 85500

List of positive integer factors of 85500 that divides 85500 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

Step-4: Factors of 85515

List of positive integer factors of 85515 that divides 85500 without a remainder.

1, 3, 5, 15, 5701, 17103, 28505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85500 and 85515. The biggest common factor number is the GCF number.
So the greatest common factor 85500 and 85515 is 15.

Also check out the Least Common Multiple of 85500 and 85515