What is the Greatest Common Factor of 93060 and 93072?

Greatest common factor (GCF) of 93060 and 93072 is 12.

GCF(93060,93072) = 12

We will now calculate the prime factors of 93060 and 93072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93060 and 93072.

How to find the GCF of 93060 and 93072?

We will first find the prime factorization of 93060 and 93072. After we will calculate the factors of 93060 and 93072 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 93072

Prime factors of 93072 are 2, 3, 7, 277. Prime factorization of 93072 in exponential form is:

93072 = 2⁴ × 3¹ × 7¹ × 277¹

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 93072

List of positive integer factors of 93072 that divides 93060 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 277, 336, 554, 831, 1108, 1662, 1939, 2216, 3324, 3878, 4432, 5817, 6648, 7756, 11634, 13296, 15512, 23268, 31024, 46536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93060 and 93072. The biggest common factor number is the GCF number.
So the greatest common factor 93060 and 93072 is 12.

Also check out the Least Common Multiple of 93060 and 93072