What is the Greatest Common Factor of 96570 and 96584?

Greatest common factor (GCF) of 96570 and 96584 is 2.

GCF(96570,96584) = 2

We will now calculate the prime factors of 96570 and 96584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96570 and 96584.

How to find the GCF of 96570 and 96584?

We will first find the prime factorization of 96570 and 96584. After we will calculate the factors of 96570 and 96584 and find the biggest common factor number .

Step-1: Prime Factorization of 96570

Prime factors of 96570 are 2, 3, 5, 29, 37. Prime factorization of 96570 in exponential form is:

96570 = 2¹ × 3² × 5¹ × 29¹ × 37¹

Step-2: Prime Factorization of 96584

Prime factors of 96584 are 2, 12073. Prime factorization of 96584 in exponential form is:

96584 = 2³ × 12073¹

Step-3: Factors of 96570

List of positive integer factors of 96570 that divides 96570 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 37, 45, 58, 74, 87, 90, 111, 145, 174, 185, 222, 261, 290, 333, 370, 435, 522, 555, 666, 870, 1073, 1110, 1305, 1665, 2146, 2610, 3219, 3330, 5365, 6438, 9657, 10730, 16095, 19314, 32190, 48285

Step-4: Factors of 96584

List of positive integer factors of 96584 that divides 96570 without a remainder.

1, 2, 4, 8, 12073, 24146, 48292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96570 and 96584. The biggest common factor number is the GCF number.
So the greatest common factor 96570 and 96584 is 2.

Also check out the Least Common Multiple of 96570 and 96584