What is the Greatest Common Factor of 93324 and 93340?

Greatest common factor (GCF) of 93324 and 93340 is 4.

GCF(93324,93340) = 4

We will now calculate the prime factors of 93324 and 93340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93324 and 93340.

How to find the GCF of 93324 and 93340?

We will first find the prime factorization of 93324 and 93340. After we will calculate the factors of 93324 and 93340 and find the biggest common factor number .

Step-1: Prime Factorization of 93324

Prime factors of 93324 are 2, 3, 7, 11, 101. Prime factorization of 93324 in exponential form is:

93324 = 2² × 3¹ × 7¹ × 11¹ × 101¹

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 93324

List of positive integer factors of 93324 that divides 93324 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 101, 132, 154, 202, 231, 303, 308, 404, 462, 606, 707, 924, 1111, 1212, 1414, 2121, 2222, 2828, 3333, 4242, 4444, 6666, 7777, 8484, 13332, 15554, 23331, 31108, 46662

Step-4: Factors of 93340

List of positive integer factors of 93340 that divides 93324 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 93324 and 93340. The biggest common factor number is the GCF number.
So the greatest common factor 93324 and 93340 is 4.

Also check out the Least Common Multiple of 93324 and 93340