What is the Greatest Common Factor of 97059 and 97065?

Greatest common factor (GCF) of 97059 and 97065 is 3.

GCF(97059,97065) = 3

We will now calculate the prime factors of 97059 and 97065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97059 and 97065.

How to find the GCF of 97059 and 97065?

We will first find the prime factorization of 97059 and 97065. After we will calculate the factors of 97059 and 97065 and find the biggest common factor number .

Step-1: Prime Factorization of 97059

Prime factors of 97059 are 3, 32353. Prime factorization of 97059 in exponential form is:

97059 = 3¹ × 32353¹

Step-2: Prime Factorization of 97065

Prime factors of 97065 are 3, 5, 719. Prime factorization of 97065 in exponential form is:

97065 = 3³ × 5¹ × 719¹

Step-3: Factors of 97059

List of positive integer factors of 97059 that divides 97059 without a remainder.

1, 3, 32353

Step-4: Factors of 97065

List of positive integer factors of 97065 that divides 97059 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 719, 2157, 3595, 6471, 10785, 19413, 32355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97059 and 97065. The biggest common factor number is the GCF number.
So the greatest common factor 97059 and 97065 is 3.

Also check out the Least Common Multiple of 97059 and 97065