What is the Greatest Common Factor of 93330 and 93347?

Greatest common factor (GCF) of 93330 and 93347 is 17.

GCF(93330,93347) = 17

We will now calculate the prime factors of 93330 and 93347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93330 and 93347.

How to find the GCF of 93330 and 93347?

We will first find the prime factorization of 93330 and 93347. After we will calculate the factors of 93330 and 93347 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93347

Prime factors of 93347 are 17, 19. Prime factorization of 93347 in exponential form is:

93347 = 17³ × 19¹

Step-3: Factors of 93330

List of positive integer factors of 93330 that divides 93330 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

Step-4: Factors of 93347

List of positive integer factors of 93347 that divides 93330 without a remainder.

1, 17, 19, 289, 323, 4913, 5491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93330 and 93347. The biggest common factor number is the GCF number.
So the greatest common factor 93330 and 93347 is 17.

Also check out the Least Common Multiple of 93330 and 93347