What is the Greatest Common Factor of 93324 and 93338?

Greatest common factor (GCF) of 93324 and 93338 is 14.

GCF(93324,93338) = 14

We will now calculate the prime factors of 93324 and 93338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93324 and 93338.

How to find the GCF of 93324 and 93338?

We will first find the prime factorization of 93324 and 93338. After we will calculate the factors of 93324 and 93338 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 93338

Prime factors of 93338 are 2, 7, 59, 113. Prime factorization of 93338 in exponential form is:

93338 = 2¹ × 7¹ × 59¹ × 113¹

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 93338

List of positive integer factors of 93338 that divides 93324 without a remainder.

1, 2, 7, 14, 59, 113, 118, 226, 413, 791, 826, 1582, 6667, 13334, 46669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93324 and 93338. The biggest common factor number is the GCF number.
So the greatest common factor 93324 and 93338 is 14.

Also check out the Least Common Multiple of 93324 and 93338