What is the Greatest Common Factor of 85500 and 85504?

Greatest common factor (GCF) of 85500 and 85504 is 4.

GCF(85500,85504) = 4

We will now calculate the prime factors of 85500 and 85504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85500 and 85504.

How to find the GCF of 85500 and 85504?

We will first find the prime factorization of 85500 and 85504. After we will calculate the factors of 85500 and 85504 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 85504

Prime factors of 85504 are 2, 167. Prime factorization of 85504 in exponential form is:

85504 = 2⁹ × 167¹

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 85504

List of positive integer factors of 85504 that divides 85500 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 167, 256, 334, 512, 668, 1336, 2672, 5344, 10688, 21376, 42752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85500 and 85504. The biggest common factor number is the GCF number.
So the greatest common factor 85500 and 85504 is 4.

Also check out the Least Common Multiple of 85500 and 85504