What is the Greatest Common Factor of 96575 and 96580?

Greatest common factor (GCF) of 96575 and 96580 is 5.

GCF(96575,96580) = 5

We will now calculate the prime factors of 96575 and 96580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96575 and 96580.

How to find the GCF of 96575 and 96580?

We will first find the prime factorization of 96575 and 96580. After we will calculate the factors of 96575 and 96580 and find the biggest common factor number .

Step-1: Prime Factorization of 96575

Prime factors of 96575 are 5, 3863. Prime factorization of 96575 in exponential form is:

96575 = 5² × 3863¹

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 96575

List of positive integer factors of 96575 that divides 96575 without a remainder.

1, 5, 25, 3863, 19315

Step-4: Factors of 96580

List of positive integer factors of 96580 that divides 96575 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 96575 and 96580. The biggest common factor number is the GCF number.
So the greatest common factor 96575 and 96580 is 5.

Also check out the Least Common Multiple of 96575 and 96580