What is the Greatest Common Factor of 97299 and 97305?

Greatest common factor (GCF) of 97299 and 97305 is 3.

GCF(97299,97305) = 3

We will now calculate the prime factors of 97299 and 97305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97299 and 97305.

How to find the GCF of 97299 and 97305?

We will first find the prime factorization of 97299 and 97305. After we will calculate the factors of 97299 and 97305 and find the biggest common factor number .

Step-1: Prime Factorization of 97299

Prime factors of 97299 are 3, 19, 569. Prime factorization of 97299 in exponential form is:

97299 = 3² × 19¹ × 569¹

Step-2: 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-3: Factors of 97299

List of positive integer factors of 97299 that divides 97299 without a remainder.

1, 3, 9, 19, 57, 171, 569, 1707, 5121, 10811, 32433

Step-4: Factors of 97305

List of positive integer factors of 97305 that divides 97299 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97299 and 97305. The biggest common factor number is the GCF number.
So the greatest common factor 97299 and 97305 is 3.

Also check out the Least Common Multiple of 97299 and 97305