What is the Greatest Common Factor of 96565 and 96570?

Greatest common factor (GCF) of 96565 and 96570 is 5.

GCF(96565,96570) = 5

We will now calculate the prime factors of 96565 and 96570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96565 and 96570.

How to find the GCF of 96565 and 96570?

We will first find the prime factorization of 96565 and 96570. After we will calculate the factors of 96565 and 96570 and find the biggest common factor number .

Step-1: Prime Factorization of 96565

Prime factors of 96565 are 5, 7, 31, 89. Prime factorization of 96565 in exponential form is:

96565 = 5¹ × 7¹ × 31¹ × 89¹

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 96565

List of positive integer factors of 96565 that divides 96565 without a remainder.

1, 5, 7, 31, 35, 89, 155, 217, 445, 623, 1085, 2759, 3115, 13795, 19313

Step-4: Factors of 96570

List of positive integer factors of 96570 that divides 96565 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 96565 and 96570. The biggest common factor number is the GCF number.
So the greatest common factor 96565 and 96570 is 5.

Also check out the Least Common Multiple of 96565 and 96570