What is the Greatest Common Factor of 92448 and 92452?

Greatest common factor (GCF) of 92448 and 92452 is 4.

GCF(92448,92452) = 4

We will now calculate the prime factors of 92448 and 92452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92448 and 92452.

How to find the GCF of 92448 and 92452?

We will first find the prime factorization of 92448 and 92452. After we will calculate the factors of 92448 and 92452 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92452

Prime factors of 92452 are 2, 29, 797. Prime factorization of 92452 in exponential form is:

92452 = 2² × 29¹ × 797¹

Step-3: Factors of 92448

List of positive integer factors of 92448 that divides 92448 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

Step-4: Factors of 92452

List of positive integer factors of 92452 that divides 92448 without a remainder.

1, 2, 4, 29, 58, 116, 797, 1594, 3188, 23113, 46226

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92448 and 92452. The biggest common factor number is the GCF number.
So the greatest common factor 92448 and 92452 is 4.

Also check out the Least Common Multiple of 92448 and 92452