What is the Greatest Common Factor of 93330 and 93340?

Greatest common factor (GCF) of 93330 and 93340 is 10.

GCF(93330,93340) = 10

We will now calculate the prime factors of 93330 and 93340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93330 and 93340.

How to find the GCF of 93330 and 93340?

We will first find the prime factorization of 93330 and 93340. After we will calculate the factors of 93330 and 93340 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 93340

Prime factors of 93340 are 2, 5, 13, 359. Prime factorization of 93340 in exponential form is:

93340 = 2² × 5¹ × 13¹ × 359¹

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 93340

List of positive integer factors of 93340 that divides 93330 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 359, 718, 1436, 1795, 3590, 4667, 7180, 9334, 18668, 23335, 46670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93330 and 93340. The biggest common factor number is the GCF number.
So the greatest common factor 93330 and 93340 is 10.

Also check out the Least Common Multiple of 93330 and 93340