What is the Greatest Common Factor of 96270 and 96285?

Greatest common factor (GCF) of 96270 and 96285 is 15.

GCF(96270,96285) = 15

We will now calculate the prime factors of 96270 and 96285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96270 and 96285.

How to find the GCF of 96270 and 96285?

We will first find the prime factorization of 96270 and 96285. After we will calculate the factors of 96270 and 96285 and find the biggest common factor number .

Step-1: Prime Factorization of 96270

Prime factors of 96270 are 2, 3, 5, 3209. Prime factorization of 96270 in exponential form is:

96270 = 2¹ × 3¹ × 5¹ × 3209¹

Step-2: Prime Factorization of 96285

Prime factors of 96285 are 3, 5, 7, 131. Prime factorization of 96285 in exponential form is:

96285 = 3¹ × 5¹ × 7² × 131¹

Step-3: Factors of 96270

List of positive integer factors of 96270 that divides 96270 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3209, 6418, 9627, 16045, 19254, 32090, 48135

Step-4: Factors of 96285

List of positive integer factors of 96285 that divides 96270 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 131, 147, 245, 393, 655, 735, 917, 1965, 2751, 4585, 6419, 13755, 19257, 32095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96270 and 96285. The biggest common factor number is the GCF number.
So the greatest common factor 96270 and 96285 is 15.

Also check out the Least Common Multiple of 96270 and 96285