What is the Greatest Common Factor of 87484 and 87504?

Greatest common factor (GCF) of 87484 and 87504 is 4.

GCF(87484,87504) = 4

We will now calculate the prime factors of 87484 and 87504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87484 and 87504.

How to find the GCF of 87484 and 87504?

We will first find the prime factorization of 87484 and 87504. After we will calculate the factors of 87484 and 87504 and find the biggest common factor number .

Step-1: Prime Factorization of 87484

Prime factors of 87484 are 2, 21871. Prime factorization of 87484 in exponential form is:

87484 = 2² × 21871¹

Step-2: 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-3: Factors of 87484

List of positive integer factors of 87484 that divides 87484 without a remainder.

1, 2, 4, 21871, 43742

Step-4: Factors of 87504

List of positive integer factors of 87504 that divides 87484 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87484 and 87504. The biggest common factor number is the GCF number.
So the greatest common factor 87484 and 87504 is 4.

Also check out the Least Common Multiple of 87484 and 87504