What is the Greatest Common Factor of 92848 and 92864?

Greatest common factor (GCF) of 92848 and 92864 is 16.

GCF(92848,92864) = 16

We will now calculate the prime factors of 92848 and 92864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92848 and 92864.

How to find the GCF of 92848 and 92864?

We will first find the prime factorization of 92848 and 92864. After we will calculate the factors of 92848 and 92864 and find the biggest common factor number .

Step-1: Prime Factorization of 92848

Prime factors of 92848 are 2, 7, 829. Prime factorization of 92848 in exponential form is:

92848 = 2⁴ × 7¹ × 829¹

Step-2: Prime Factorization of 92864

Prime factors of 92864 are 2, 1451. Prime factorization of 92864 in exponential form is:

92864 = 2⁶ × 1451¹

Step-3: Factors of 92848

List of positive integer factors of 92848 that divides 92848 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 829, 1658, 3316, 5803, 6632, 11606, 13264, 23212, 46424

Step-4: Factors of 92864

List of positive integer factors of 92864 that divides 92848 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1451, 2902, 5804, 11608, 23216, 46432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92848 and 92864. The biggest common factor number is the GCF number.
So the greatest common factor 92848 and 92864 is 16.

Also check out the Least Common Multiple of 92848 and 92864