What is the Greatest Common Factor of 97305 and 97318?

Greatest common factor (GCF) of 97305 and 97318 is 13.

GCF(97305,97318) = 13

We will now calculate the prime factors of 97305 and 97318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97305 and 97318.

How to find the GCF of 97305 and 97318?

We will first find the prime factorization of 97305 and 97318. After we will calculate the factors of 97305 and 97318 and find the biggest common factor number .

Step-1: Prime Factorization of 97305

Prime factors of 97305 are 3, 5, 13, 499. Prime factorization of 97305 in exponential form is:

97305 = 3¹ × 5¹ × 13¹ × 499¹

Step-2: Prime Factorization of 97318

Prime factors of 97318 are 2, 13, 19, 197. Prime factorization of 97318 in exponential form is:

97318 = 2¹ × 13¹ × 19¹ × 197¹

Step-3: Factors of 97305

List of positive integer factors of 97305 that divides 97305 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 499, 1497, 2495, 6487, 7485, 19461, 32435

Step-4: Factors of 97318

List of positive integer factors of 97318 that divides 97305 without a remainder.

1, 2, 13, 19, 26, 38, 197, 247, 394, 494, 2561, 3743, 5122, 7486, 48659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97305 and 97318. The biggest common factor number is the GCF number.
So the greatest common factor 97305 and 97318 is 13.

Also check out the Least Common Multiple of 97305 and 97318