What is the Greatest Common Factor of 87184 and 87192?

Greatest common factor (GCF) of 87184 and 87192 is 8.

GCF(87184,87192) = 8

We will now calculate the prime factors of 87184 and 87192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87184 and 87192.

How to find the GCF of 87184 and 87192?

We will first find the prime factorization of 87184 and 87192. After we will calculate the factors of 87184 and 87192 and find the biggest common factor number .

Step-1: Prime Factorization of 87184

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

87184 = 2⁴ × 5449¹

Step-2: Prime Factorization of 87192

Prime factors of 87192 are 2, 3, 7, 173. Prime factorization of 87192 in exponential form is:

87192 = 2³ × 3² × 7¹ × 173¹

Step-3: Factors of 87184

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

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

Step-4: Factors of 87192

List of positive integer factors of 87192 that divides 87184 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 173, 252, 346, 504, 519, 692, 1038, 1211, 1384, 1557, 2076, 2422, 3114, 3633, 4152, 4844, 6228, 7266, 9688, 10899, 12456, 14532, 21798, 29064, 43596

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87184 and 87192. The biggest common factor number is the GCF number.
So the greatest common factor 87184 and 87192 is 8.

Also check out the Least Common Multiple of 87184 and 87192