What is the Greatest Common Factor of 94144 and 94160?

Greatest common factor (GCF) of 94144 and 94160 is 16.

GCF(94144,94160) = 16

We will now calculate the prime factors of 94144 and 94160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94144 and 94160.

How to find the GCF of 94144 and 94160?

We will first find the prime factorization of 94144 and 94160. After we will calculate the factors of 94144 and 94160 and find the biggest common factor number .

Step-1: Prime Factorization of 94144

Prime factors of 94144 are 2, 1471. Prime factorization of 94144 in exponential form is:

94144 = 2⁶ × 1471¹

Step-2: 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-3: Factors of 94144

List of positive integer factors of 94144 that divides 94144 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1471, 2942, 5884, 11768, 23536, 47072

Step-4: Factors of 94160

List of positive integer factors of 94160 that divides 94144 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94144 and 94160. The biggest common factor number is the GCF number.
So the greatest common factor 94144 and 94160 is 16.

Also check out the Least Common Multiple of 94144 and 94160