What is the Greatest Common Factor of 93324 and 93335?

Greatest common factor (GCF) of 93324 and 93335 is 11.

GCF(93324,93335) = 11

We will now calculate the prime factors of 93324 and 93335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93324 and 93335.

How to find the GCF of 93324 and 93335?

We will first find the prime factorization of 93324 and 93335. After we will calculate the factors of 93324 and 93335 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 93335

Prime factors of 93335 are 5, 11, 1697. Prime factorization of 93335 in exponential form is:

93335 = 5¹ × 11¹ × 1697¹

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 93335

List of positive integer factors of 93335 that divides 93324 without a remainder.

1, 5, 11, 55, 1697, 8485, 18667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93324 and 93335. The biggest common factor number is the GCF number.
So the greatest common factor 93324 and 93335 is 11.

Also check out the Least Common Multiple of 93324 and 93335