What is the Greatest Common Factor of 96101 and 96118?

Greatest common factor (GCF) of 96101 and 96118 is 17.

GCF(96101,96118) = 17

We will now calculate the prime factors of 96101 and 96118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96101 and 96118.

How to find the GCF of 96101 and 96118?

We will first find the prime factorization of 96101 and 96118. After we will calculate the factors of 96101 and 96118 and find the biggest common factor number .

Step-1: Prime Factorization of 96101

Prime factors of 96101 are 17, 5653. Prime factorization of 96101 in exponential form is:

96101 = 17¹ × 5653¹

Step-2: Prime Factorization of 96118

Prime factors of 96118 are 2, 11, 17, 257. Prime factorization of 96118 in exponential form is:

96118 = 2¹ × 11¹ × 17¹ × 257¹

Step-3: Factors of 96101

List of positive integer factors of 96101 that divides 96101 without a remainder.

1, 17, 5653

Step-4: Factors of 96118

List of positive integer factors of 96118 that divides 96101 without a remainder.

1, 2, 11, 17, 22, 34, 187, 257, 374, 514, 2827, 4369, 5654, 8738, 48059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96101 and 96118. The biggest common factor number is the GCF number.
So the greatest common factor 96101 and 96118 is 17.

Also check out the Least Common Multiple of 96101 and 96118