What is the Greatest Common Factor of 96274 and 96278?

Greatest common factor (GCF) of 96274 and 96278 is 2.

GCF(96274,96278) = 2

We will now calculate the prime factors of 96274 and 96278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96274 and 96278.

How to find the GCF of 96274 and 96278?

We will first find the prime factorization of 96274 and 96278. After we will calculate the factors of 96274 and 96278 and find the biggest common factor number .

Step-1: Prime Factorization of 96274

Prime factors of 96274 are 2, 37, 1301. Prime factorization of 96274 in exponential form is:

96274 = 2¹ × 37¹ × 1301¹

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 96274

List of positive integer factors of 96274 that divides 96274 without a remainder.

1, 2, 37, 74, 1301, 2602, 48137

Step-4: Factors of 96278

List of positive integer factors of 96278 that divides 96274 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 96274 and 96278. The biggest common factor number is the GCF number.
So the greatest common factor 96274 and 96278 is 2.

Also check out the Least Common Multiple of 96274 and 96278