What is the Greatest Common Factor of 87168 and 87184?

Greatest common factor (GCF) of 87168 and 87184 is 16.

GCF(87168,87184) = 16

We will now calculate the prime factors of 87168 and 87184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87168 and 87184.

How to find the GCF of 87168 and 87184?

We will first find the prime factorization of 87168 and 87184. After we will calculate the factors of 87168 and 87184 and find the biggest common factor number .

Step-1: Prime Factorization of 87168

Prime factors of 87168 are 2, 3, 227. Prime factorization of 87168 in exponential form is:

87168 = 2⁷ × 3¹ × 227¹

Step-2: Prime Factorization of 87184

Prime factors of 87184 are 2, 5449. Prime factorization of 87184 in exponential form is:

87184 = 2⁴ × 5449¹

Step-3: Factors of 87168

List of positive integer factors of 87168 that divides 87168 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 227, 384, 454, 681, 908, 1362, 1816, 2724, 3632, 5448, 7264, 10896, 14528, 21792, 29056, 43584

Step-4: Factors of 87184

List of positive integer factors of 87184 that divides 87168 without a remainder.

1, 2, 4, 8, 16, 5449, 10898, 21796, 43592

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87168 and 87184. The biggest common factor number is the GCF number.
So the greatest common factor 87168 and 87184 is 16.

Also check out the Least Common Multiple of 87168 and 87184