What is the Greatest Common Factor of 94688 and 94704?

Greatest common factor (GCF) of 94688 and 94704 is 16.

GCF(94688,94704) = 16

We will now calculate the prime factors of 94688 and 94704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94688 and 94704.

How to find the GCF of 94688 and 94704?

We will first find the prime factorization of 94688 and 94704. After we will calculate the factors of 94688 and 94704 and find the biggest common factor number .

Step-1: Prime Factorization of 94688

Prime factors of 94688 are 2, 11, 269. Prime factorization of 94688 in exponential form is:

94688 = 2⁵ × 11¹ × 269¹

Step-2: Prime Factorization of 94704

Prime factors of 94704 are 2, 3, 1973. Prime factorization of 94704 in exponential form is:

94704 = 2⁴ × 3¹ × 1973¹

Step-3: Factors of 94688

List of positive integer factors of 94688 that divides 94688 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 269, 352, 538, 1076, 2152, 2959, 4304, 5918, 8608, 11836, 23672, 47344

Step-4: Factors of 94704

List of positive integer factors of 94704 that divides 94688 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1973, 3946, 5919, 7892, 11838, 15784, 23676, 31568, 47352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94688 and 94704. The biggest common factor number is the GCF number.
So the greatest common factor 94688 and 94704 is 16.

Also check out the Least Common Multiple of 94688 and 94704