What is the Greatest Common Factor of 92112 and 92124?

Greatest common factor (GCF) of 92112 and 92124 is 12.

GCF(92112,92124) = 12

We will now calculate the prime factors of 92112 and 92124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92112 and 92124.

How to find the GCF of 92112 and 92124?

We will first find the prime factorization of 92112 and 92124. After we will calculate the factors of 92112 and 92124 and find the biggest common factor number .

Step-1: Prime Factorization of 92112

Prime factors of 92112 are 2, 3, 19, 101. Prime factorization of 92112 in exponential form is:

92112 = 2⁴ × 3¹ × 19¹ × 101¹

Step-2: Prime Factorization of 92124

Prime factors of 92124 are 2, 3, 853. Prime factorization of 92124 in exponential form is:

92124 = 2² × 3³ × 853¹

Step-3: Factors of 92112

List of positive integer factors of 92112 that divides 92112 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 101, 114, 152, 202, 228, 303, 304, 404, 456, 606, 808, 912, 1212, 1616, 1919, 2424, 3838, 4848, 5757, 7676, 11514, 15352, 23028, 30704, 46056

Step-4: Factors of 92124

List of positive integer factors of 92124 that divides 92112 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 853, 1706, 2559, 3412, 5118, 7677, 10236, 15354, 23031, 30708, 46062

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92112 and 92124. The biggest common factor number is the GCF number.
So the greatest common factor 92112 and 92124 is 12.

Also check out the Least Common Multiple of 92112 and 92124