What is the Greatest Common Factor of 87504 and 87519?

Greatest common factor (GCF) of 87504 and 87519 is 3.

GCF(87504,87519) = 3

We will now calculate the prime factors of 87504 and 87519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87504 and 87519.

How to find the GCF of 87504 and 87519?

We will first find the prime factorization of 87504 and 87519. After we will calculate the factors of 87504 and 87519 and find the biggest common factor number .

Step-1: Prime Factorization of 87504

Prime factors of 87504 are 2, 3, 1823. Prime factorization of 87504 in exponential form is:

87504 = 2⁴ × 3¹ × 1823¹

Step-2: Prime Factorization of 87519

Prime factors of 87519 are 3, 29173. Prime factorization of 87519 in exponential form is:

87519 = 3¹ × 29173¹

Step-3: Factors of 87504

List of positive integer factors of 87504 that divides 87504 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1823, 3646, 5469, 7292, 10938, 14584, 21876, 29168, 43752

Step-4: Factors of 87519

List of positive integer factors of 87519 that divides 87504 without a remainder.

1, 3, 29173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87504 and 87519. The biggest common factor number is the GCF number.
So the greatest common factor 87504 and 87519 is 3.

Also check out the Least Common Multiple of 87504 and 87519