What is the Greatest Common Factor of 92448 and 92460?

Greatest common factor (GCF) of 92448 and 92460 is 12.

GCF(92448,92460) = 12

We will now calculate the prime factors of 92448 and 92460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92448 and 92460.

How to find the GCF of 92448 and 92460?

We will first find the prime factorization of 92448 and 92460. After we will calculate the factors of 92448 and 92460 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 92460

Prime factors of 92460 are 2, 3, 5, 23, 67. Prime factorization of 92460 in exponential form is:

92460 = 2² × 3¹ × 5¹ × 23¹ × 67¹

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 92460

List of positive integer factors of 92460 that divides 92448 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 67, 69, 92, 115, 134, 138, 201, 230, 268, 276, 335, 345, 402, 460, 670, 690, 804, 1005, 1340, 1380, 1541, 2010, 3082, 4020, 4623, 6164, 7705, 9246, 15410, 18492, 23115, 30820, 46230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92448 and 92460. The biggest common factor number is the GCF number.
So the greatest common factor 92448 and 92460 is 12.

Also check out the Least Common Multiple of 92448 and 92460