What is the Greatest Common Factor of 96550 and 96570?

Greatest common factor (GCF) of 96550 and 96570 is 10.

GCF(96550,96570) = 10

We will now calculate the prime factors of 96550 and 96570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96550 and 96570.

How to find the GCF of 96550 and 96570?

We will first find the prime factorization of 96550 and 96570. After we will calculate the factors of 96550 and 96570 and find the biggest common factor number .

Step-1: Prime Factorization of 96550

Prime factors of 96550 are 2, 5, 1931. Prime factorization of 96550 in exponential form is:

96550 = 2¹ × 5² × 1931¹

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 96550

List of positive integer factors of 96550 that divides 96550 without a remainder.

1, 2, 5, 10, 25, 50, 1931, 3862, 9655, 19310, 48275

Step-4: Factors of 96570

List of positive integer factors of 96570 that divides 96550 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 96550 and 96570. The biggest common factor number is the GCF number.
So the greatest common factor 96550 and 96570 is 10.

Also check out the Least Common Multiple of 96550 and 96570