What is the Greatest Common Factor of 96265 and 96278?

Greatest common factor (GCF) of 96265 and 96278 is 13.

GCF(96265,96278) = 13

We will now calculate the prime factors of 96265 and 96278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96265 and 96278.

How to find the GCF of 96265 and 96278?

We will first find the prime factorization of 96265 and 96278. After we will calculate the factors of 96265 and 96278 and find the biggest common factor number .

Step-1: Prime Factorization of 96265

Prime factors of 96265 are 5, 13, 1481. Prime factorization of 96265 in exponential form is:

96265 = 5¹ × 13¹ × 1481¹

Step-2: 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-3: Factors of 96265

List of positive integer factors of 96265 that divides 96265 without a remainder.

1, 5, 13, 65, 1481, 7405, 19253

Step-4: Factors of 96278

List of positive integer factors of 96278 that divides 96265 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96265 and 96278. The biggest common factor number is the GCF number.
So the greatest common factor 96265 and 96278 is 13.

Also check out the Least Common Multiple of 96265 and 96278