What is the Greatest Common Factor of 87385 and 87400?

Greatest common factor (GCF) of 87385 and 87400 is 5.

GCF(87385,87400) = 5

We will now calculate the prime factors of 87385 and 87400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87385 and 87400.

How to find the GCF of 87385 and 87400?

We will first find the prime factorization of 87385 and 87400. After we will calculate the factors of 87385 and 87400 and find the biggest common factor number .

Step-1: Prime Factorization of 87385

Prime factors of 87385 are 5, 17477. Prime factorization of 87385 in exponential form is:

87385 = 5¹ × 17477¹

Step-2: Prime Factorization of 87400

Prime factors of 87400 are 2, 5, 19, 23. Prime factorization of 87400 in exponential form is:

87400 = 2³ × 5² × 19¹ × 23¹

Step-3: Factors of 87385

List of positive integer factors of 87385 that divides 87385 without a remainder.

1, 5, 17477

Step-4: Factors of 87400

List of positive integer factors of 87400 that divides 87385 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 23, 25, 38, 40, 46, 50, 76, 92, 95, 100, 115, 152, 184, 190, 200, 230, 380, 437, 460, 475, 575, 760, 874, 920, 950, 1150, 1748, 1900, 2185, 2300, 3496, 3800, 4370, 4600, 8740, 10925, 17480, 21850, 43700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87385 and 87400. The biggest common factor number is the GCF number.
So the greatest common factor 87385 and 87400 is 5.

Also check out the Least Common Multiple of 87385 and 87400