What is the Greatest Common Factor of 92436 and 92448?

Greatest common factor (GCF) of 92436 and 92448 is 12.

GCF(92436,92448) = 12

We will now calculate the prime factors of 92436 and 92448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92436 and 92448.

How to find the GCF of 92436 and 92448?

We will first find the prime factorization of 92436 and 92448. After we will calculate the factors of 92436 and 92448 and find the biggest common factor number .

Step-1: Prime Factorization of 92436

Prime factors of 92436 are 2, 3, 7703. Prime factorization of 92436 in exponential form is:

92436 = 2² × 3¹ × 7703¹

Step-2: Prime Factorization of 92448

Prime factors of 92448 are 2, 3, 107. Prime factorization of 92448 in exponential form is:

92448 = 2⁵ × 3³ × 107¹

Step-3: Factors of 92436

List of positive integer factors of 92436 that divides 92436 without a remainder.

1, 2, 3, 4, 6, 12, 7703, 15406, 23109, 30812, 46218

Step-4: Factors of 92448

List of positive integer factors of 92448 that divides 92436 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 107, 108, 144, 214, 216, 288, 321, 428, 432, 642, 856, 864, 963, 1284, 1712, 1926, 2568, 2889, 3424, 3852, 5136, 5778, 7704, 10272, 11556, 15408, 23112, 30816, 46224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92436 and 92448. The biggest common factor number is the GCF number.
So the greatest common factor 92436 and 92448 is 12.

Also check out the Least Common Multiple of 92436 and 92448