What is the Greatest Common Factor of 96292 and 96309?

Greatest common factor (GCF) of 96292 and 96309 is 1.

GCF(96292,96309) = 1

We will now calculate the prime factors of 96292 and 96309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96292 and 96309.

How to find the GCF of 96292 and 96309?

We will first find the prime factorization of 96292 and 96309. After we will calculate the factors of 96292 and 96309 and find the biggest common factor number .

Step-1: Prime Factorization of 96292

Prime factors of 96292 are 2, 7, 19, 181. Prime factorization of 96292 in exponential form is:

96292 = 2² × 7¹ × 19¹ × 181¹

Step-2: Prime Factorization of 96309

Prime factors of 96309 are 3, 29, 41. Prime factorization of 96309 in exponential form is:

96309 = 3⁴ × 29¹ × 41¹

Step-3: Factors of 96292

List of positive integer factors of 96292 that divides 96292 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 181, 266, 362, 532, 724, 1267, 2534, 3439, 5068, 6878, 13756, 24073, 48146

Step-4: Factors of 96309

List of positive integer factors of 96309 that divides 96292 without a remainder.

1, 3, 9, 27, 29, 41, 81, 87, 123, 261, 369, 783, 1107, 1189, 2349, 3321, 3567, 10701, 32103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96292 and 96309. The biggest common factor number is the GCF number.
So the greatest common factor 96292 and 96309 is 1.

Also check out the Least Common Multiple of 96292 and 96309