What is the Greatest Common Factor of 97056 and 97065?

Greatest common factor (GCF) of 97056 and 97065 is 9.

GCF(97056,97065) = 9

We will now calculate the prime factors of 97056 and 97065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97056 and 97065.

How to find the GCF of 97056 and 97065?

We will first find the prime factorization of 97056 and 97065. After we will calculate the factors of 97056 and 97065 and find the biggest common factor number .

Step-1: Prime Factorization of 97056

Prime factors of 97056 are 2, 3, 337. Prime factorization of 97056 in exponential form is:

97056 = 2⁵ × 3² × 337¹

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 97056

List of positive integer factors of 97056 that divides 97056 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288, 337, 674, 1011, 1348, 2022, 2696, 3033, 4044, 5392, 6066, 8088, 10784, 12132, 16176, 24264, 32352, 48528

Step-4: Factors of 97065

List of positive integer factors of 97065 that divides 97056 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 97056 and 97065. The biggest common factor number is the GCF number.
So the greatest common factor 97056 and 97065 is 9.

Also check out the Least Common Multiple of 97056 and 97065