What is the Greatest Common Factor of 94160 and 94165?

Greatest common factor (GCF) of 94160 and 94165 is 5.

GCF(94160,94165) = 5

We will now calculate the prime factors of 94160 and 94165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94160 and 94165.

How to find the GCF of 94160 and 94165?

We will first find the prime factorization of 94160 and 94165. After we will calculate the factors of 94160 and 94165 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 94165

Prime factors of 94165 are 5, 37, 509. Prime factorization of 94165 in exponential form is:

94165 = 5¹ × 37¹ × 509¹

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 94165

List of positive integer factors of 94165 that divides 94160 without a remainder.

1, 5, 37, 185, 509, 2545, 18833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94160 and 94165. The biggest common factor number is the GCF number.
So the greatest common factor 94160 and 94165 is 5.

Also check out the Least Common Multiple of 94160 and 94165