What is the Greatest Common Factor of 88500 and 88519?

Greatest common factor (GCF) of 88500 and 88519 is 1.

GCF(88500,88519) = 1

We will now calculate the prime factors of 88500 and 88519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88500 and 88519.

How to find the GCF of 88500 and 88519?

We will first find the prime factorization of 88500 and 88519. After we will calculate the factors of 88500 and 88519 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88519

Prime factors of 88519 are 17, 41, 127. Prime factorization of 88519 in exponential form is:

88519 = 17¹ × 41¹ × 127¹

Step-3: Factors of 88500

List of positive integer factors of 88500 that divides 88500 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

Step-4: Factors of 88519

List of positive integer factors of 88519 that divides 88500 without a remainder.

1, 17, 41, 127, 697, 2159, 5207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88500 and 88519. The biggest common factor number is the GCF number.
So the greatest common factor 88500 and 88519 is 1.

Also check out the Least Common Multiple of 88500 and 88519