What is the Greatest Common Factor of 96564 and 96570?

Greatest common factor (GCF) of 96564 and 96570 is 6.

GCF(96564,96570) = 6

We will now calculate the prime factors of 96564 and 96570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96564 and 96570.

How to find the GCF of 96564 and 96570?

We will first find the prime factorization of 96564 and 96570. After we will calculate the factors of 96564 and 96570 and find the biggest common factor number .

Step-1: Prime Factorization of 96564

Prime factors of 96564 are 2, 3, 13, 619. Prime factorization of 96564 in exponential form is:

96564 = 2² × 3¹ × 13¹ × 619¹

Step-2: 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-3: Factors of 96564

List of positive integer factors of 96564 that divides 96564 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 619, 1238, 1857, 2476, 3714, 7428, 8047, 16094, 24141, 32188, 48282

Step-4: Factors of 96570

List of positive integer factors of 96570 that divides 96564 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96564 and 96570. The biggest common factor number is the GCF number.
So the greatest common factor 96564 and 96570 is 6.

Also check out the Least Common Multiple of 96564 and 96570