What is the Greatest Common Factor of 93275 and 93285?

Greatest common factor (GCF) of 93275 and 93285 is 5.

GCF(93275,93285) = 5

We will now calculate the prime factors of 93275 and 93285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93275 and 93285.

How to find the GCF of 93275 and 93285?

We will first find the prime factorization of 93275 and 93285. After we will calculate the factors of 93275 and 93285 and find the biggest common factor number .

Step-1: Prime Factorization of 93275

Prime factors of 93275 are 5, 7, 13, 41. Prime factorization of 93275 in exponential form is:

93275 = 5² × 7¹ × 13¹ × 41¹

Step-2: Prime Factorization of 93285

Prime factors of 93285 are 3, 5, 691. Prime factorization of 93285 in exponential form is:

93285 = 3³ × 5¹ × 691¹

Step-3: Factors of 93275

List of positive integer factors of 93275 that divides 93275 without a remainder.

1, 5, 7, 13, 25, 35, 41, 65, 91, 175, 205, 287, 325, 455, 533, 1025, 1435, 2275, 2665, 3731, 7175, 13325, 18655

Step-4: Factors of 93285

List of positive integer factors of 93285 that divides 93275 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 691, 2073, 3455, 6219, 10365, 18657, 31095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93275 and 93285. The biggest common factor number is the GCF number.
So the greatest common factor 93275 and 93285 is 5.

Also check out the Least Common Multiple of 93275 and 93285