What is the Greatest Common Factor of 96569 and 96580?

Greatest common factor (GCF) of 96569 and 96580 is 11.

GCF(96569,96580) = 11

We will now calculate the prime factors of 96569 and 96580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96569 and 96580.

How to find the GCF of 96569 and 96580?

We will first find the prime factorization of 96569 and 96580. After we will calculate the factors of 96569 and 96580 and find the biggest common factor number .

Step-1: Prime Factorization of 96569

Prime factors of 96569 are 11, 8779. Prime factorization of 96569 in exponential form is:

96569 = 11¹ × 8779¹

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 96569

List of positive integer factors of 96569 that divides 96569 without a remainder.

1, 11, 8779

Step-4: Factors of 96580

List of positive integer factors of 96580 that divides 96569 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 96569 and 96580. The biggest common factor number is the GCF number.
So the greatest common factor 96569 and 96580 is 11.

Also check out the Least Common Multiple of 96569 and 96580