What is the Greatest Common Factor of 96266 and 96278?

Greatest common factor (GCF) of 96266 and 96278 is 2.

GCF(96266,96278) = 2

We will now calculate the prime factors of 96266 and 96278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96266 and 96278.

How to find the GCF of 96266 and 96278?

We will first find the prime factorization of 96266 and 96278. After we will calculate the factors of 96266 and 96278 and find the biggest common factor number .

Step-1: Prime Factorization of 96266

Prime factors of 96266 are 2, 127, 379. Prime factorization of 96266 in exponential form is:

96266 = 2¹ × 127¹ × 379¹

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 96266

List of positive integer factors of 96266 that divides 96266 without a remainder.

1, 2, 127, 254, 379, 758, 48133

Step-4: Factors of 96278

List of positive integer factors of 96278 that divides 96266 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 96266 and 96278. The biggest common factor number is the GCF number.
So the greatest common factor 96266 and 96278 is 2.

Also check out the Least Common Multiple of 96266 and 96278