What is the Greatest Common Factor of 96290 and 96296?

Greatest common factor (GCF) of 96290 and 96296 is 2.

GCF(96290,96296) = 2

We will now calculate the prime factors of 96290 and 96296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96290 and 96296.

How to find the GCF of 96290 and 96296?

We will first find the prime factorization of 96290 and 96296. After we will calculate the factors of 96290 and 96296 and find the biggest common factor number .

Step-1: Prime Factorization of 96290

Prime factors of 96290 are 2, 5, 9629. Prime factorization of 96290 in exponential form is:

96290 = 2¹ × 5¹ × 9629¹

Step-2: Prime Factorization of 96296

Prime factors of 96296 are 2, 12037. Prime factorization of 96296 in exponential form is:

96296 = 2³ × 12037¹

Step-3: Factors of 96290

List of positive integer factors of 96290 that divides 96290 without a remainder.

1, 2, 5, 10, 9629, 19258, 48145

Step-4: Factors of 96296

List of positive integer factors of 96296 that divides 96290 without a remainder.

1, 2, 4, 8, 12037, 24074, 48148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96290 and 96296. The biggest common factor number is the GCF number.
So the greatest common factor 96290 and 96296 is 2.

Also check out the Least Common Multiple of 96290 and 96296