What is the Greatest Common Factor of 94160 and 94176?

Greatest common factor (GCF) of 94160 and 94176 is 16.

GCF(94160,94176) = 16

We will now calculate the prime factors of 94160 and 94176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94160 and 94176.

How to find the GCF of 94160 and 94176?

We will first find the prime factorization of 94160 and 94176. After we will calculate the factors of 94160 and 94176 and find the biggest common factor number .

Step-1: Prime Factorization of 94160

Prime factors of 94160 are 2, 5, 11, 107. Prime factorization of 94160 in exponential form is:

94160 = 2⁴ × 5¹ × 11¹ × 107¹

Step-2: Prime Factorization of 94176

Prime factors of 94176 are 2, 3, 109. Prime factorization of 94176 in exponential form is:

94176 = 2⁵ × 3³ × 109¹

Step-3: Factors of 94160

List of positive integer factors of 94160 that divides 94160 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 107, 110, 176, 214, 220, 428, 440, 535, 856, 880, 1070, 1177, 1712, 2140, 2354, 4280, 4708, 5885, 8560, 9416, 11770, 18832, 23540, 47080

Step-4: Factors of 94176

List of positive integer factors of 94176 that divides 94160 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 109, 144, 216, 218, 288, 327, 432, 436, 654, 864, 872, 981, 1308, 1744, 1962, 2616, 2943, 3488, 3924, 5232, 5886, 7848, 10464, 11772, 15696, 23544, 31392, 47088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94160 and 94176. The biggest common factor number is the GCF number.
So the greatest common factor 94160 and 94176 is 16.

Also check out the Least Common Multiple of 94160 and 94176