What is the Greatest Common Factor of 93030 and 93045?

Greatest common factor (GCF) of 93030 and 93045 is 15.

GCF(93030,93045) = 15

We will now calculate the prime factors of 93030 and 93045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93030 and 93045.

How to find the GCF of 93030 and 93045?

We will first find the prime factorization of 93030 and 93045. After we will calculate the factors of 93030 and 93045 and find the biggest common factor number .

Step-1: Prime Factorization of 93030

Prime factors of 93030 are 2, 3, 5, 7, 443. Prime factorization of 93030 in exponential form is:

93030 = 2¹ × 3¹ × 5¹ × 7¹ × 443¹

Step-2: Prime Factorization of 93045

Prime factors of 93045 are 3, 5, 6203. Prime factorization of 93045 in exponential form is:

93045 = 3¹ × 5¹ × 6203¹

Step-3: Factors of 93030

List of positive integer factors of 93030 that divides 93030 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 443, 886, 1329, 2215, 2658, 3101, 4430, 6202, 6645, 9303, 13290, 15505, 18606, 31010, 46515

Step-4: Factors of 93045

List of positive integer factors of 93045 that divides 93030 without a remainder.

1, 3, 5, 15, 6203, 18609, 31015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93030 and 93045. The biggest common factor number is the GCF number.
So the greatest common factor 93030 and 93045 is 15.

Also check out the Least Common Multiple of 93030 and 93045