What is the Greatest Common Factor of 87504 and 87524?

Greatest common factor (GCF) of 87504 and 87524 is 4.

GCF(87504,87524) = 4

We will now calculate the prime factors of 87504 and 87524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87504 and 87524.

How to find the GCF of 87504 and 87524?

We will first find the prime factorization of 87504 and 87524. After we will calculate the factors of 87504 and 87524 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 87524

Prime factors of 87524 are 2, 21881. Prime factorization of 87524 in exponential form is:

87524 = 2² × 21881¹

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 87524

List of positive integer factors of 87524 that divides 87504 without a remainder.

1, 2, 4, 21881, 43762

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87504 and 87524. The biggest common factor number is the GCF number.
So the greatest common factor 87504 and 87524 is 4.

Also check out the Least Common Multiple of 87504 and 87524