What is the Greatest Common Factor of 92432 and 92448?

Greatest common factor (GCF) of 92432 and 92448 is 16.

GCF(92432,92448) = 16

We will now calculate the prime factors of 92432 and 92448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92432 and 92448.

How to find the GCF of 92432 and 92448?

We will first find the prime factorization of 92432 and 92448. After we will calculate the factors of 92432 and 92448 and find the biggest common factor number .

Step-1: Prime Factorization of 92432

Prime factors of 92432 are 2, 53, 109. Prime factorization of 92432 in exponential form is:

92432 = 2⁴ × 53¹ × 109¹

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 92432

List of positive integer factors of 92432 that divides 92432 without a remainder.

1, 2, 4, 8, 16, 53, 106, 109, 212, 218, 424, 436, 848, 872, 1744, 5777, 11554, 23108, 46216

Step-4: Factors of 92448

List of positive integer factors of 92448 that divides 92432 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 92432 and 92448. The biggest common factor number is the GCF number.
So the greatest common factor 92432 and 92448 is 16.

Also check out the Least Common Multiple of 92432 and 92448