What is the Greatest Common Factor of 93060 and 93069?

Greatest common factor (GCF) of 93060 and 93069 is 9.

GCF(93060,93069) = 9

We will now calculate the prime factors of 93060 and 93069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93060 and 93069.

How to find the GCF of 93060 and 93069?

We will first find the prime factorization of 93060 and 93069. After we will calculate the factors of 93060 and 93069 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93069

Prime factors of 93069 are 3, 383. Prime factorization of 93069 in exponential form is:

93069 = 3⁵ × 383¹

Step-3: Factors of 93060

List of positive integer factors of 93060 that divides 93060 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

Step-4: Factors of 93069

List of positive integer factors of 93069 that divides 93060 without a remainder.

1, 3, 9, 27, 81, 243, 383, 1149, 3447, 10341, 31023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93060 and 93069. The biggest common factor number is the GCF number.
So the greatest common factor 93060 and 93069 is 9.

Also check out the Least Common Multiple of 93060 and 93069