What is the Greatest Common Factor of 93689 and 93708?

Greatest common factor (GCF) of 93689 and 93708 is 19.

GCF(93689,93708) = 19

We will now calculate the prime factors of 93689 and 93708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93689 and 93708.

How to find the GCF of 93689 and 93708?

We will first find the prime factorization of 93689 and 93708. After we will calculate the factors of 93689 and 93708 and find the biggest common factor number .

Step-1: Prime Factorization of 93689

Prime factors of 93689 are 19, 4931. Prime factorization of 93689 in exponential form is:

93689 = 19¹ × 4931¹

Step-2: Prime Factorization of 93708

Prime factors of 93708 are 2, 3, 19, 137. Prime factorization of 93708 in exponential form is:

93708 = 2² × 3² × 19¹ × 137¹

Step-3: Factors of 93689

List of positive integer factors of 93689 that divides 93689 without a remainder.

1, 19, 4931

Step-4: Factors of 93708

List of positive integer factors of 93708 that divides 93689 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 137, 171, 228, 274, 342, 411, 548, 684, 822, 1233, 1644, 2466, 2603, 4932, 5206, 7809, 10412, 15618, 23427, 31236, 46854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93689 and 93708. The biggest common factor number is the GCF number.
So the greatest common factor 93689 and 93708 is 19.

Also check out the Least Common Multiple of 93689 and 93708