What is the Greatest Common Factor of 93545 and 93564?

Greatest common factor (GCF) of 93545 and 93564 is 1.

GCF(93545,93564) = 1

We will now calculate the prime factors of 93545 and 93564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93545 and 93564.

How to find the GCF of 93545 and 93564?

We will first find the prime factorization of 93545 and 93564. After we will calculate the factors of 93545 and 93564 and find the biggest common factor number .

Step-1: Prime Factorization of 93545

Prime factors of 93545 are 5, 53, 353. Prime factorization of 93545 in exponential form is:

93545 = 5¹ × 53¹ × 353¹

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 93545

List of positive integer factors of 93545 that divides 93545 without a remainder.

1, 5, 53, 265, 353, 1765, 18709

Step-4: Factors of 93564

List of positive integer factors of 93564 that divides 93545 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 93545 and 93564. The biggest common factor number is the GCF number.
So the greatest common factor 93545 and 93564 is 1.

Also check out the Least Common Multiple of 93545 and 93564