What is the Greatest Common Factor of 92448 and 92454?

Greatest common factor (GCF) of 92448 and 92454 is 6.

GCF(92448,92454) = 6

We will now calculate the prime factors of 92448 and 92454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92448 and 92454.

How to find the GCF of 92448 and 92454?

We will first find the prime factorization of 92448 and 92454. After we will calculate the factors of 92448 and 92454 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 92454

Prime factors of 92454 are 2, 3, 19, 811. Prime factorization of 92454 in exponential form is:

92454 = 2¹ × 3¹ × 19¹ × 811¹

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 92454

List of positive integer factors of 92454 that divides 92448 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 811, 1622, 2433, 4866, 15409, 30818, 46227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92448 and 92454. The biggest common factor number is the GCF number.
So the greatest common factor 92448 and 92454 is 6.

Also check out the Least Common Multiple of 92448 and 92454