What is the Greatest Common Factor of 93060 and 93071?

Greatest common factor (GCF) of 93060 and 93071 is 11.

GCF(93060,93071) = 11

We will now calculate the prime factors of 93060 and 93071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93060 and 93071.

How to find the GCF of 93060 and 93071?

We will first find the prime factorization of 93060 and 93071. After we will calculate the factors of 93060 and 93071 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 93071

Prime factors of 93071 are 11, 8461. Prime factorization of 93071 in exponential form is:

93071 = 11¹ × 8461¹

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 93071

List of positive integer factors of 93071 that divides 93060 without a remainder.

1, 11, 8461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93060 and 93071. The biggest common factor number is the GCF number.
So the greatest common factor 93060 and 93071 is 11.

Also check out the Least Common Multiple of 93060 and 93071