What is the Greatest Common Factor of 87487 and 87504?

Greatest common factor (GCF) of 87487 and 87504 is 1.

GCF(87487,87504) = 1

We will now calculate the prime factors of 87487 and 87504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87487 and 87504.

How to find the GCF of 87487 and 87504?

We will first find the prime factorization of 87487 and 87504. After we will calculate the factors of 87487 and 87504 and find the biggest common factor number .

Step-1: Prime Factorization of 87487

Prime factors of 87487 are 89, 983. Prime factorization of 87487 in exponential form is:

87487 = 89¹ × 983¹

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 87487

List of positive integer factors of 87487 that divides 87487 without a remainder.

1, 89, 983

Step-4: Factors of 87504

List of positive integer factors of 87504 that divides 87487 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 87487 and 87504. The biggest common factor number is the GCF number.
So the greatest common factor 87487 and 87504 is 1.

Also check out the Least Common Multiple of 87487 and 87504