What is the Greatest Common Factor of 96566 and 96580?

Greatest common factor (GCF) of 96566 and 96580 is 2.

GCF(96566,96580) = 2

We will now calculate the prime factors of 96566 and 96580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96566 and 96580.

How to find the GCF of 96566 and 96580?

We will first find the prime factorization of 96566 and 96580. After we will calculate the factors of 96566 and 96580 and find the biggest common factor number .

Step-1: Prime Factorization of 96566

Prime factors of 96566 are 2, 53, 911. Prime factorization of 96566 in exponential form is:

96566 = 2¹ × 53¹ × 911¹

Step-2: Prime Factorization of 96580

Prime factors of 96580 are 2, 5, 11, 439. Prime factorization of 96580 in exponential form is:

96580 = 2² × 5¹ × 11¹ × 439¹

Step-3: Factors of 96566

List of positive integer factors of 96566 that divides 96566 without a remainder.

1, 2, 53, 106, 911, 1822, 48283

Step-4: Factors of 96580

List of positive integer factors of 96580 that divides 96566 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 439, 878, 1756, 2195, 4390, 4829, 8780, 9658, 19316, 24145, 48290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96566 and 96580. The biggest common factor number is the GCF number.
So the greatest common factor 96566 and 96580 is 2.

Also check out the Least Common Multiple of 96566 and 96580