What is the Greatest Common Factor of 32110 and 32117?

Greatest common factor (GCF) of 32110 and 32117 is 1.

GCF(32110,32117) = 1

We will now calculate the prime factors of 32110 and 32117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32110 and 32117.

How to find the GCF of 32110 and 32117?

We will first find the prime factorization of 32110 and 32117. After we will calculate the factors of 32110 and 32117 and find the biggest common factor number .

Step-1: Prime Factorization of 32110

Prime factors of 32110 are 2, 5, 13, 19. Prime factorization of 32110 in exponential form is:

32110 = 2¹ × 5¹ × 13² × 19¹

Step-2: Prime Factorization of 32117

Prime factors of 32117 are 32117. Prime factorization of 32117 in exponential form is:

32117 = 32117¹

Step-3: Factors of 32110

List of positive integer factors of 32110 that divides 32110 without a remainder.

1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 169, 190, 247, 338, 494, 845, 1235, 1690, 2470, 3211, 6422, 16055

Step-4: Factors of 32117

List of positive integer factors of 32117 that divides 32110 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32110 and 32117. The biggest common factor number is the GCF number.
So the greatest common factor 32110 and 32117 is 1.

Also check out the Least Common Multiple of 32110 and 32117