What is the Greatest Common Factor of 87600 and 87605?

Greatest common factor (GCF) of 87600 and 87605 is 5.

GCF(87600,87605) = 5

We will now calculate the prime factors of 87600 and 87605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87600 and 87605.

How to find the GCF of 87600 and 87605?

We will first find the prime factorization of 87600 and 87605. After we will calculate the factors of 87600 and 87605 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 87605

Prime factors of 87605 are 5, 7, 2503. Prime factorization of 87605 in exponential form is:

87605 = 5¹ × 7¹ × 2503¹

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 87605

List of positive integer factors of 87605 that divides 87600 without a remainder.

1, 5, 7, 35, 2503, 12515, 17521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87600 and 87605. The biggest common factor number is the GCF number.
So the greatest common factor 87600 and 87605 is 5.

Also check out the Least Common Multiple of 87600 and 87605