What is the Greatest Common Factor of 32305 and 32318?

Greatest common factor (GCF) of 32305 and 32318 is 13.

GCF(32305,32318) = 13

We will now calculate the prime factors of 32305 and 32318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32305 and 32318.

How to find the GCF of 32305 and 32318?

We will first find the prime factorization of 32305 and 32318. After we will calculate the factors of 32305 and 32318 and find the biggest common factor number .

Step-1: Prime Factorization of 32305

Prime factors of 32305 are 5, 7, 13, 71. Prime factorization of 32305 in exponential form is:

32305 = 5¹ × 7¹ × 13¹ × 71¹

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 32305

List of positive integer factors of 32305 that divides 32305 without a remainder.

1, 5, 7, 13, 35, 65, 71, 91, 355, 455, 497, 923, 2485, 4615, 6461

Step-4: Factors of 32318

List of positive integer factors of 32318 that divides 32305 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 32305 and 32318. The biggest common factor number is the GCF number.
So the greatest common factor 32305 and 32318 is 13.

Also check out the Least Common Multiple of 32305 and 32318