What is the Greatest Common Factor of 88496 and 88500?

Greatest common factor (GCF) of 88496 and 88500 is 4.

GCF(88496,88500) = 4

We will now calculate the prime factors of 88496 and 88500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88496 and 88500.

How to find the GCF of 88496 and 88500?

We will first find the prime factorization of 88496 and 88500. After we will calculate the factors of 88496 and 88500 and find the biggest common factor number .

Step-1: Prime Factorization of 88496

Prime factors of 88496 are 2, 5531. Prime factorization of 88496 in exponential form is:

88496 = 2⁴ × 5531¹

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 88496

List of positive integer factors of 88496 that divides 88496 without a remainder.

1, 2, 4, 8, 16, 5531, 11062, 22124, 44248

Step-4: Factors of 88500

List of positive integer factors of 88500 that divides 88496 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 88496 and 88500. The biggest common factor number is the GCF number.
So the greatest common factor 88496 and 88500 is 4.

Also check out the Least Common Multiple of 88496 and 88500