What is the Greatest Common Factor of 94800 and 94816?

Greatest common factor (GCF) of 94800 and 94816 is 16.

GCF(94800,94816) = 16

We will now calculate the prime factors of 94800 and 94816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94800 and 94816.

How to find the GCF of 94800 and 94816?

We will first find the prime factorization of 94800 and 94816. After we will calculate the factors of 94800 and 94816 and find the biggest common factor number .

Step-1: Prime Factorization of 94800

Prime factors of 94800 are 2, 3, 5, 79. Prime factorization of 94800 in exponential form is:

94800 = 2⁴ × 3¹ × 5² × 79¹

Step-2: Prime Factorization of 94816

Prime factors of 94816 are 2, 2963. Prime factorization of 94816 in exponential form is:

94816 = 2⁵ × 2963¹

Step-3: Factors of 94800

List of positive integer factors of 94800 that divides 94800 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 79, 80, 100, 120, 150, 158, 200, 237, 240, 300, 316, 395, 400, 474, 600, 632, 790, 948, 1185, 1200, 1264, 1580, 1896, 1975, 2370, 3160, 3792, 3950, 4740, 5925, 6320, 7900, 9480, 11850, 15800, 18960, 23700, 31600, 47400

Step-4: Factors of 94816

List of positive integer factors of 94816 that divides 94800 without a remainder.

1, 2, 4, 8, 16, 32, 2963, 5926, 11852, 23704, 47408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94800 and 94816. The biggest common factor number is the GCF number.
So the greatest common factor 94800 and 94816 is 16.

Also check out the Least Common Multiple of 94800 and 94816