What is the Greatest Common Factor of 97065 and 97078?

Greatest common factor (GCF) of 97065 and 97078 is 1.

GCF(97065,97078) = 1

We will now calculate the prime factors of 97065 and 97078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97065 and 97078.

How to find the GCF of 97065 and 97078?

We will first find the prime factorization of 97065 and 97078. After we will calculate the factors of 97065 and 97078 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 97078

Prime factors of 97078 are 2, 48539. Prime factorization of 97078 in exponential form is:

97078 = 2¹ × 48539¹

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 97078

List of positive integer factors of 97078 that divides 97065 without a remainder.

1, 2, 48539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97065 and 97078. The biggest common factor number is the GCF number.
So the greatest common factor 97065 and 97078 is 1.

Also check out the Least Common Multiple of 97065 and 97078