What is the Greatest Common Factor of 93564 and 93569?

Greatest common factor (GCF) of 93564 and 93569 is 1.

GCF(93564,93569) = 1

We will now calculate the prime factors of 93564 and 93569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93564 and 93569.

How to find the GCF of 93564 and 93569?

We will first find the prime factorization of 93564 and 93569. After we will calculate the factors of 93564 and 93569 and find the biggest common factor number .

Step-1: Prime Factorization of 93564

Prime factors of 93564 are 2, 3, 23, 113. Prime factorization of 93564 in exponential form is:

93564 = 2² × 3² × 23¹ × 113¹

Step-2: Prime Factorization of 93569

Prime factors of 93569 are 7, 13367. Prime factorization of 93569 in exponential form is:

93569 = 7¹ × 13367¹

Step-3: Factors of 93564

List of positive integer factors of 93564 that divides 93564 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 113, 138, 207, 226, 276, 339, 414, 452, 678, 828, 1017, 1356, 2034, 2599, 4068, 5198, 7797, 10396, 15594, 23391, 31188, 46782

Step-4: Factors of 93569

List of positive integer factors of 93569 that divides 93564 without a remainder.

1, 7, 13367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93564 and 93569. The biggest common factor number is the GCF number.
So the greatest common factor 93564 and 93569 is 1.

Also check out the Least Common Multiple of 93564 and 93569