What is the Greatest Common Factor of 93045 and 93060?

Greatest common factor (GCF) of 93045 and 93060 is 15.

GCF(93045,93060) = 15

We will now calculate the prime factors of 93045 and 93060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93045 and 93060.

How to find the GCF of 93045 and 93060?

We will first find the prime factorization of 93045 and 93060. After we will calculate the factors of 93045 and 93060 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93060

Prime factors of 93060 are 2, 3, 5, 11, 47. Prime factorization of 93060 in exponential form is:

93060 = 2² × 3² × 5¹ × 11¹ × 47¹

Step-3: Factors of 93045

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

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

Step-4: Factors of 93060

List of positive integer factors of 93060 that divides 93045 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 44, 45, 47, 55, 60, 66, 90, 94, 99, 110, 132, 141, 165, 180, 188, 198, 220, 235, 282, 330, 396, 423, 470, 495, 517, 564, 660, 705, 846, 940, 990, 1034, 1410, 1551, 1692, 1980, 2068, 2115, 2585, 2820, 3102, 4230, 4653, 5170, 6204, 7755, 8460, 9306, 10340, 15510, 18612, 23265, 31020, 46530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93045 and 93060. The biggest common factor number is the GCF number.
So the greatest common factor 93045 and 93060 is 15.

Also check out the Least Common Multiple of 93045 and 93060