What is the Greatest Common Factor of 97065 and 97077?

Greatest common factor (GCF) of 97065 and 97077 is 3.

GCF(97065,97077) = 3

We will now calculate the prime factors of 97065 and 97077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97065 and 97077.

How to find the GCF of 97065 and 97077?

We will first find the prime factorization of 97065 and 97077. After we will calculate the factors of 97065 and 97077 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97077

Prime factors of 97077 are 3, 32359. Prime factorization of 97077 in exponential form is:

97077 = 3¹ × 32359¹

Step-3: Factors of 97065

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

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

Step-4: Factors of 97077

List of positive integer factors of 97077 that divides 97065 without a remainder.

1, 3, 32359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97065 and 97077. The biggest common factor number is the GCF number.
So the greatest common factor 97065 and 97077 is 3.

Also check out the Least Common Multiple of 97065 and 97077