What is the Greatest Common Factor of 92184 and 92199?

Greatest common factor (GCF) of 92184 and 92199 is 3.

GCF(92184,92199) = 3

We will now calculate the prime factors of 92184 and 92199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92184 and 92199.

How to find the GCF of 92184 and 92199?

We will first find the prime factorization of 92184 and 92199. After we will calculate the factors of 92184 and 92199 and find the biggest common factor number .

Step-1: Prime Factorization of 92184

Prime factors of 92184 are 2, 3, 23, 167. Prime factorization of 92184 in exponential form is:

92184 = 2³ × 3¹ × 23¹ × 167¹

Step-2: Prime Factorization of 92199

Prime factors of 92199 are 3, 73, 421. Prime factorization of 92199 in exponential form is:

92199 = 3¹ × 73¹ × 421¹

Step-3: Factors of 92184

List of positive integer factors of 92184 that divides 92184 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 167, 184, 276, 334, 501, 552, 668, 1002, 1336, 2004, 3841, 4008, 7682, 11523, 15364, 23046, 30728, 46092

Step-4: Factors of 92199

List of positive integer factors of 92199 that divides 92184 without a remainder.

1, 3, 73, 219, 421, 1263, 30733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92184 and 92199. The biggest common factor number is the GCF number.
So the greatest common factor 92184 and 92199 is 3.

Also check out the Least Common Multiple of 92184 and 92199