What is the Greatest Common Factor of 93312 and 93330?

Greatest common factor (GCF) of 93312 and 93330 is 18.

GCF(93312,93330) = 18

We will now calculate the prime factors of 93312 and 93330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93312 and 93330.

How to find the GCF of 93312 and 93330?

We will first find the prime factorization of 93312 and 93330. After we will calculate the factors of 93312 and 93330 and find the biggest common factor number .

Step-1: Prime Factorization of 93312

Prime factors of 93312 are 2, 3. Prime factorization of 93312 in exponential form is:

93312 = 2⁷ × 3⁶

Step-2: Prime Factorization of 93330

Prime factors of 93330 are 2, 3, 5, 17, 61. Prime factorization of 93330 in exponential form is:

93330 = 2¹ × 3² × 5¹ × 17¹ × 61¹

Step-3: Factors of 93312

List of positive integer factors of 93312 that divides 93312 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 128, 144, 162, 192, 216, 243, 288, 324, 384, 432, 486, 576, 648, 729, 864, 972, 1152, 1296, 1458, 1728, 1944, 2592, 2916, 3456, 3888, 5184, 5832, 7776, 10368, 11664, 15552, 23328, 31104, 46656

Step-4: Factors of 93330

List of positive integer factors of 93330 that divides 93312 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 61, 85, 90, 102, 122, 153, 170, 183, 255, 305, 306, 366, 510, 549, 610, 765, 915, 1037, 1098, 1530, 1830, 2074, 2745, 3111, 5185, 5490, 6222, 9333, 10370, 15555, 18666, 31110, 46665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93312 and 93330. The biggest common factor number is the GCF number.
So the greatest common factor 93312 and 93330 is 18.

Also check out the Least Common Multiple of 93312 and 93330