What is the Greatest Common Factor of 32309 and 32318?

Greatest common factor (GCF) of 32309 and 32318 is 1.

GCF(32309,32318) = 1

We will now calculate the prime factors of 32309 and 32318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32309 and 32318.

How to find the GCF of 32309 and 32318?

We will first find the prime factorization of 32309 and 32318. After we will calculate the factors of 32309 and 32318 and find the biggest common factor number .

Step-1: Prime Factorization of 32309

Prime factors of 32309 are 32309. Prime factorization of 32309 in exponential form is:

32309 = 32309¹

Step-2: Prime Factorization of 32318

Prime factors of 32318 are 2, 11, 13, 113. Prime factorization of 32318 in exponential form is:

32318 = 2¹ × 11¹ × 13¹ × 113¹

Step-3: Factors of 32309

List of positive integer factors of 32309 that divides 32309 without a remainder.

Step-4: Factors of 32318

List of positive integer factors of 32318 that divides 32309 without a remainder.

1, 2, 11, 13, 22, 26, 113, 143, 226, 286, 1243, 1469, 2486, 2938, 16159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32309 and 32318. The biggest common factor number is the GCF number.
So the greatest common factor 32309 and 32318 is 1.

Also check out the Least Common Multiple of 32309 and 32318