What is the Greatest Common Factor of 96084 and 96097?

Greatest common factor (GCF) of 96084 and 96097 is 1.

GCF(96084,96097) = 1

We will now calculate the prime factors of 96084 and 96097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96084 and 96097.

How to find the GCF of 96084 and 96097?

We will first find the prime factorization of 96084 and 96097. After we will calculate the factors of 96084 and 96097 and find the biggest common factor number .

Step-1: Prime Factorization of 96084

Prime factors of 96084 are 2, 3, 17, 157. Prime factorization of 96084 in exponential form is:

96084 = 2² × 3² × 17¹ × 157¹

Step-2: Prime Factorization of 96097

Prime factors of 96097 are 96097. Prime factorization of 96097 in exponential form is:

96097 = 96097¹

Step-3: Factors of 96084

List of positive integer factors of 96084 that divides 96084 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 157, 204, 306, 314, 471, 612, 628, 942, 1413, 1884, 2669, 2826, 5338, 5652, 8007, 10676, 16014, 24021, 32028, 48042

Step-4: Factors of 96097

List of positive integer factors of 96097 that divides 96084 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96084 and 96097. The biggest common factor number is the GCF number.
So the greatest common factor 96084 and 96097 is 1.

Also check out the Least Common Multiple of 96084 and 96097