What is the Greatest Common Factor of 92832 and 92848?

Greatest common factor (GCF) of 92832 and 92848 is 16.

GCF(92832,92848) = 16

We will now calculate the prime factors of 92832 and 92848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92832 and 92848.

How to find the GCF of 92832 and 92848?

We will first find the prime factorization of 92832 and 92848. After we will calculate the factors of 92832 and 92848 and find the biggest common factor number .

Step-1: Prime Factorization of 92832

Prime factors of 92832 are 2, 3, 967. Prime factorization of 92832 in exponential form is:

92832 = 2⁵ × 3¹ × 967¹

Step-2: 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-3: Factors of 92832

List of positive integer factors of 92832 that divides 92832 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 967, 1934, 2901, 3868, 5802, 7736, 11604, 15472, 23208, 30944, 46416

Step-4: Factors of 92848

List of positive integer factors of 92848 that divides 92832 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92832 and 92848. The biggest common factor number is the GCF number.
So the greatest common factor 92832 and 92848 is 16.

Also check out the Least Common Multiple of 92832 and 92848