What is the Greatest Common Factor of 88500 and 88512?

Greatest common factor (GCF) of 88500 and 88512 is 12.

GCF(88500,88512) = 12

We will now calculate the prime factors of 88500 and 88512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88500 and 88512.

How to find the GCF of 88500 and 88512?

We will first find the prime factorization of 88500 and 88512. After we will calculate the factors of 88500 and 88512 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 88512

Prime factors of 88512 are 2, 3, 461. Prime factorization of 88512 in exponential form is:

88512 = 2⁶ × 3¹ × 461¹

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 88512

List of positive integer factors of 88512 that divides 88500 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 461, 922, 1383, 1844, 2766, 3688, 5532, 7376, 11064, 14752, 22128, 29504, 44256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88500 and 88512. The biggest common factor number is the GCF number.
So the greatest common factor 88500 and 88512 is 12.

Also check out the Least Common Multiple of 88500 and 88512