What is the Greatest Common Factor of 85500 and 85512?

Greatest common factor (GCF) of 85500 and 85512 is 12.

GCF(85500,85512) = 12

We will now calculate the prime factors of 85500 and 85512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85500 and 85512.

How to find the GCF of 85500 and 85512?

We will first find the prime factorization of 85500 and 85512. After we will calculate the factors of 85500 and 85512 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 85512

Prime factors of 85512 are 2, 3, 7, 509. Prime factorization of 85512 in exponential form is:

85512 = 2³ × 3¹ × 7¹ × 509¹

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 85512

List of positive integer factors of 85512 that divides 85500 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 509, 1018, 1527, 2036, 3054, 3563, 4072, 6108, 7126, 10689, 12216, 14252, 21378, 28504, 42756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85500 and 85512. The biggest common factor number is the GCF number.
So the greatest common factor 85500 and 85512 is 12.

Also check out the Least Common Multiple of 85500 and 85512