What is the Greatest Common Factor of 87484 and 87492?

Greatest common factor (GCF) of 87484 and 87492 is 4.

GCF(87484,87492) = 4

We will now calculate the prime factors of 87484 and 87492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87484 and 87492.

How to find the GCF of 87484 and 87492?

We will first find the prime factorization of 87484 and 87492. After we will calculate the factors of 87484 and 87492 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 87492

Prime factors of 87492 are 2, 3, 23, 317. Prime factorization of 87492 in exponential form is:

87492 = 2² × 3¹ × 23¹ × 317¹

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 87492

List of positive integer factors of 87492 that divides 87484 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 317, 634, 951, 1268, 1902, 3804, 7291, 14582, 21873, 29164, 43746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87484 and 87492. The biggest common factor number is the GCF number.
So the greatest common factor 87484 and 87492 is 4.

Also check out the Least Common Multiple of 87484 and 87492