What is the Greatest Common Factor of 96278 and 96297?

Greatest common factor (GCF) of 96278 and 96297 is 1.

GCF(96278,96297) = 1

We will now calculate the prime factors of 96278 and 96297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96278 and 96297.

How to find the GCF of 96278 and 96297?

We will first find the prime factorization of 96278 and 96297. After we will calculate the factors of 96278 and 96297 and find the biggest common factor number .

Step-1: Prime Factorization of 96278

Prime factors of 96278 are 2, 7, 13, 23. Prime factorization of 96278 in exponential form is:

96278 = 2¹ × 7¹ × 13¹ × 23²

Step-2: Prime Factorization of 96297

Prime factors of 96297 are 3, 32099. Prime factorization of 96297 in exponential form is:

96297 = 3¹ × 32099¹

Step-3: Factors of 96278

List of positive integer factors of 96278 that divides 96278 without a remainder.

1, 2, 7, 13, 14, 23, 26, 46, 91, 161, 182, 299, 322, 529, 598, 1058, 2093, 3703, 4186, 6877, 7406, 13754, 48139

Step-4: Factors of 96297

List of positive integer factors of 96297 that divides 96278 without a remainder.

1, 3, 32099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96278 and 96297. The biggest common factor number is the GCF number.
So the greatest common factor 96278 and 96297 is 1.

Also check out the Least Common Multiple of 96278 and 96297