What is the Greatest Common Factor of 87600 and 87615?

Greatest common factor (GCF) of 87600 and 87615 is 15.

GCF(87600,87615) = 15

We will now calculate the prime factors of 87600 and 87615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87600 and 87615.

How to find the GCF of 87600 and 87615?

We will first find the prime factorization of 87600 and 87615. After we will calculate the factors of 87600 and 87615 and find the biggest common factor number .

Step-1: Prime Factorization of 87600

Prime factors of 87600 are 2, 3, 5, 73. Prime factorization of 87600 in exponential form is:

87600 = 2⁴ × 3¹ × 5² × 73¹

Step-2: Prime Factorization of 87615

Prime factors of 87615 are 3, 5, 11, 59. Prime factorization of 87615 in exponential form is:

87615 = 3³ × 5¹ × 11¹ × 59¹

Step-3: Factors of 87600

List of positive integer factors of 87600 that divides 87600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 73, 75, 80, 100, 120, 146, 150, 200, 219, 240, 292, 300, 365, 400, 438, 584, 600, 730, 876, 1095, 1168, 1200, 1460, 1752, 1825, 2190, 2920, 3504, 3650, 4380, 5475, 5840, 7300, 8760, 10950, 14600, 17520, 21900, 29200, 43800

Step-4: Factors of 87615

List of positive integer factors of 87615 that divides 87600 without a remainder.

1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 59, 99, 135, 165, 177, 295, 297, 495, 531, 649, 885, 1485, 1593, 1947, 2655, 3245, 5841, 7965, 9735, 17523, 29205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87600 and 87615. The biggest common factor number is the GCF number.
So the greatest common factor 87600 and 87615 is 15.

Also check out the Least Common Multiple of 87600 and 87615