What is the Greatest Common Factor of 32096 and 32113?

Greatest common factor (GCF) of 32096 and 32113 is 17.

GCF(32096,32113) = 17

We will now calculate the prime factors of 32096 and 32113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32096 and 32113.

How to find the GCF of 32096 and 32113?

We will first find the prime factorization of 32096 and 32113. After we will calculate the factors of 32096 and 32113 and find the biggest common factor number .

Step-1: Prime Factorization of 32096

Prime factors of 32096 are 2, 17, 59. Prime factorization of 32096 in exponential form is:

32096 = 2⁵ × 17¹ × 59¹

Step-2: Prime Factorization of 32113

Prime factors of 32113 are 17, 1889. Prime factorization of 32113 in exponential form is:

32113 = 17¹ × 1889¹

Step-3: Factors of 32096

List of positive integer factors of 32096 that divides 32096 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 59, 68, 118, 136, 236, 272, 472, 544, 944, 1003, 1888, 2006, 4012, 8024, 16048

Step-4: Factors of 32113

List of positive integer factors of 32113 that divides 32096 without a remainder.

1, 17, 1889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32096 and 32113. The biggest common factor number is the GCF number.
So the greatest common factor 32096 and 32113 is 17.

Also check out the Least Common Multiple of 32096 and 32113