What is the Greatest Common Factor of 87400 and 87409?

Greatest common factor (GCF) of 87400 and 87409 is 1.

GCF(87400,87409) = 1

We will now calculate the prime factors of 87400 and 87409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87400 and 87409.

How to find the GCF of 87400 and 87409?

We will first find the prime factorization of 87400 and 87409. After we will calculate the factors of 87400 and 87409 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87409

Prime factors of 87409 are 7, 12487. Prime factorization of 87409 in exponential form is:

87409 = 7¹ × 12487¹

Step-3: Factors of 87400

List of positive integer factors of 87400 that divides 87400 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

Step-4: Factors of 87409

List of positive integer factors of 87409 that divides 87400 without a remainder.

1, 7, 12487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87400 and 87409. The biggest common factor number is the GCF number.
So the greatest common factor 87400 and 87409 is 1.

Also check out the Least Common Multiple of 87400 and 87409