What is the Greatest Common Factor of 93708 and 93714?

Greatest common factor (GCF) of 93708 and 93714 is 6.

GCF(93708,93714) = 6

We will now calculate the prime factors of 93708 and 93714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93708 and 93714.

How to find the GCF of 93708 and 93714?

We will first find the prime factorization of 93708 and 93714. After we will calculate the factors of 93708 and 93714 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93714

Prime factors of 93714 are 2, 3, 15619. Prime factorization of 93714 in exponential form is:

93714 = 2¹ × 3¹ × 15619¹

Step-3: Factors of 93708

List of positive integer factors of 93708 that divides 93708 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

Step-4: Factors of 93714

List of positive integer factors of 93714 that divides 93708 without a remainder.

1, 2, 3, 6, 15619, 31238, 46857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93708 and 93714. The biggest common factor number is the GCF number.
So the greatest common factor 93708 and 93714 is 6.

Also check out the Least Common Multiple of 93708 and 93714