What is the Greatest Common Factor of 96285 and 96290?

Greatest common factor (GCF) of 96285 and 96290 is 5.

GCF(96285,96290) = 5

We will now calculate the prime factors of 96285 and 96290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96285 and 96290.

How to find the GCF of 96285 and 96290?

We will first find the prime factorization of 96285 and 96290. After we will calculate the factors of 96285 and 96290 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96290

Prime factors of 96290 are 2, 5, 9629. Prime factorization of 96290 in exponential form is:

96290 = 2¹ × 5¹ × 9629¹

Step-3: Factors of 96285

List of positive integer factors of 96285 that divides 96285 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

Step-4: Factors of 96290

List of positive integer factors of 96290 that divides 96285 without a remainder.

1, 2, 5, 10, 9629, 19258, 48145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96285 and 96290. The biggest common factor number is the GCF number.
So the greatest common factor 96285 and 96290 is 5.

Also check out the Least Common Multiple of 96285 and 96290