What is the Greatest Common Factor of 93549 and 93564?

Greatest common factor (GCF) of 93549 and 93564 is 3.

GCF(93549,93564) = 3

We will now calculate the prime factors of 93549 and 93564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93549 and 93564.

How to find the GCF of 93549 and 93564?

We will first find the prime factorization of 93549 and 93564. After we will calculate the factors of 93549 and 93564 and find the biggest common factor number .

Step-1: Prime Factorization of 93549

Prime factors of 93549 are 3, 31183. Prime factorization of 93549 in exponential form is:

93549 = 3¹ × 31183¹

Step-2: 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-3: Factors of 93549

List of positive integer factors of 93549 that divides 93549 without a remainder.

1, 3, 31183

Step-4: Factors of 93564

List of positive integer factors of 93564 that divides 93549 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93549 and 93564. The biggest common factor number is the GCF number.
So the greatest common factor 93549 and 93564 is 3.

Also check out the Least Common Multiple of 93549 and 93564