What is the Greatest Common Factor of 92412 and 92424?

Greatest common factor (GCF) of 92412 and 92424 is 12.

GCF(92412,92424) = 12

We will now calculate the prime factors of 92412 and 92424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92412 and 92424.

How to find the GCF of 92412 and 92424?

We will first find the prime factorization of 92412 and 92424. After we will calculate the factors of 92412 and 92424 and find the biggest common factor number .

Step-1: Prime Factorization of 92412

Prime factors of 92412 are 2, 3, 17, 151. Prime factorization of 92412 in exponential form is:

92412 = 2² × 3² × 17¹ × 151¹

Step-2: Prime Factorization of 92424

Prime factors of 92424 are 2, 3, 3851. Prime factorization of 92424 in exponential form is:

92424 = 2³ × 3¹ × 3851¹

Step-3: Factors of 92412

List of positive integer factors of 92412 that divides 92412 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 151, 153, 204, 302, 306, 453, 604, 612, 906, 1359, 1812, 2567, 2718, 5134, 5436, 7701, 10268, 15402, 23103, 30804, 46206

Step-4: Factors of 92424

List of positive integer factors of 92424 that divides 92412 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3851, 7702, 11553, 15404, 23106, 30808, 46212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92412 and 92424. The biggest common factor number is the GCF number.
So the greatest common factor 92412 and 92424 is 12.

Also check out the Least Common Multiple of 92412 and 92424