What is the Greatest Common Factor of 93495 and 93510?

Greatest common factor (GCF) of 93495 and 93510 is 15.

GCF(93495,93510) = 15

We will now calculate the prime factors of 93495 and 93510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93495 and 93510.

How to find the GCF of 93495 and 93510?

We will first find the prime factorization of 93495 and 93510. After we will calculate the factors of 93495 and 93510 and find the biggest common factor number .

Step-1: Prime Factorization of 93495

Prime factors of 93495 are 3, 5, 23, 271. Prime factorization of 93495 in exponential form is:

93495 = 3¹ × 5¹ × 23¹ × 271¹

Step-2: Prime Factorization of 93510

Prime factors of 93510 are 2, 3, 5, 1039. Prime factorization of 93510 in exponential form is:

93510 = 2¹ × 3² × 5¹ × 1039¹

Step-3: Factors of 93495

List of positive integer factors of 93495 that divides 93495 without a remainder.

1, 3, 5, 15, 23, 69, 115, 271, 345, 813, 1355, 4065, 6233, 18699, 31165

Step-4: Factors of 93510

List of positive integer factors of 93510 that divides 93495 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1039, 2078, 3117, 5195, 6234, 9351, 10390, 15585, 18702, 31170, 46755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93495 and 93510. The biggest common factor number is the GCF number.
So the greatest common factor 93495 and 93510 is 15.

Also check out the Least Common Multiple of 93495 and 93510