What is the Greatest Common Factor of 88485 and 88500?

Greatest common factor (GCF) of 88485 and 88500 is 15.

GCF(88485,88500) = 15

We will now calculate the prime factors of 88485 and 88500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88485 and 88500.

How to find the GCF of 88485 and 88500?

We will first find the prime factorization of 88485 and 88500. After we will calculate the factors of 88485 and 88500 and find the biggest common factor number .

Step-1: Prime Factorization of 88485

Prime factors of 88485 are 3, 5, 17, 347. Prime factorization of 88485 in exponential form is:

88485 = 3¹ × 5¹ × 17¹ × 347¹

Step-2: Prime Factorization of 88500

Prime factors of 88500 are 2, 3, 5, 59. Prime factorization of 88500 in exponential form is:

88500 = 2² × 3¹ × 5³ × 59¹

Step-3: Factors of 88485

List of positive integer factors of 88485 that divides 88485 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 347, 1041, 1735, 5205, 5899, 17697, 29495

Step-4: Factors of 88500

List of positive integer factors of 88500 that divides 88485 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 59, 60, 75, 100, 118, 125, 150, 177, 236, 250, 295, 300, 354, 375, 500, 590, 708, 750, 885, 1180, 1475, 1500, 1770, 2950, 3540, 4425, 5900, 7375, 8850, 14750, 17700, 22125, 29500, 44250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88485 and 88500. The biggest common factor number is the GCF number.
So the greatest common factor 88485 and 88500 is 15.

Also check out the Least Common Multiple of 88485 and 88500