What is the Greatest Common Factor of 87594 and 87600?

Greatest common factor (GCF) of 87594 and 87600 is 6.

GCF(87594,87600) = 6

We will now calculate the prime factors of 87594 and 87600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87594 and 87600.

How to find the GCF of 87594 and 87600?

We will first find the prime factorization of 87594 and 87600. After we will calculate the factors of 87594 and 87600 and find the biggest common factor number .

Step-1: Prime Factorization of 87594

Prime factors of 87594 are 2, 3, 13, 1123. Prime factorization of 87594 in exponential form is:

87594 = 2¹ × 3¹ × 13¹ × 1123¹

Step-2: 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-3: Factors of 87594

List of positive integer factors of 87594 that divides 87594 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1123, 2246, 3369, 6738, 14599, 29198, 43797

Step-4: Factors of 87600

List of positive integer factors of 87600 that divides 87594 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87594 and 87600. The biggest common factor number is the GCF number.
So the greatest common factor 87594 and 87600 is 6.

Also check out the Least Common Multiple of 87594 and 87600