What is the Greatest Common Factor of 88500 and 88520?

Greatest common factor (GCF) of 88500 and 88520 is 20.

GCF(88500,88520) = 20

We will now calculate the prime factors of 88500 and 88520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88500 and 88520.

How to find the GCF of 88500 and 88520?

We will first find the prime factorization of 88500 and 88520. After we will calculate the factors of 88500 and 88520 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 88520

Prime factors of 88520 are 2, 5, 2213. Prime factorization of 88520 in exponential form is:

88520 = 2³ × 5¹ × 2213¹

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 88520

List of positive integer factors of 88520 that divides 88500 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2213, 4426, 8852, 11065, 17704, 22130, 44260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88500 and 88520. The biggest common factor number is the GCF number.
So the greatest common factor 88500 and 88520 is 20.

Also check out the Least Common Multiple of 88500 and 88520