What is the Greatest Common Factor of 92172 and 92184?

Greatest common factor (GCF) of 92172 and 92184 is 12.

GCF(92172,92184) = 12

We will now calculate the prime factors of 92172 and 92184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92172 and 92184.

How to find the GCF of 92172 and 92184?

We will first find the prime factorization of 92172 and 92184. After we will calculate the factors of 92172 and 92184 and find the biggest common factor number .

Step-1: Prime Factorization of 92172

Prime factors of 92172 are 2, 3, 7681. Prime factorization of 92172 in exponential form is:

92172 = 2² × 3¹ × 7681¹

Step-2: 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-3: Factors of 92172

List of positive integer factors of 92172 that divides 92172 without a remainder.

1, 2, 3, 4, 6, 12, 7681, 15362, 23043, 30724, 46086

Step-4: Factors of 92184

List of positive integer factors of 92184 that divides 92172 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92172 and 92184. The biggest common factor number is the GCF number.
So the greatest common factor 92172 and 92184 is 12.

Also check out the Least Common Multiple of 92172 and 92184