What is the Greatest Common Factor of 92816 and 92832?

Greatest common factor (GCF) of 92816 and 92832 is 16.

GCF(92816,92832) = 16

We will now calculate the prime factors of 92816 and 92832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92816 and 92832.

How to find the GCF of 92816 and 92832?

We will first find the prime factorization of 92816 and 92832. After we will calculate the factors of 92816 and 92832 and find the biggest common factor number .

Step-1: Prime Factorization of 92816

Prime factors of 92816 are 2, 5801. Prime factorization of 92816 in exponential form is:

92816 = 2⁴ × 5801¹

Step-2: 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-3: Factors of 92816

List of positive integer factors of 92816 that divides 92816 without a remainder.

1, 2, 4, 8, 16, 5801, 11602, 23204, 46408

Step-4: Factors of 92832

List of positive integer factors of 92832 that divides 92816 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92816 and 92832. The biggest common factor number is the GCF number.
So the greatest common factor 92816 and 92832 is 16.

Also check out the Least Common Multiple of 92816 and 92832