What is the Greatest Common Factor of 93714 and 93729?

Greatest common factor (GCF) of 93714 and 93729 is 3.

GCF(93714,93729) = 3

We will now calculate the prime factors of 93714 and 93729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93714 and 93729.

How to find the GCF of 93714 and 93729?

We will first find the prime factorization of 93714 and 93729. After we will calculate the factors of 93714 and 93729 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93729

Prime factors of 93729 are 3, 157, 199. Prime factorization of 93729 in exponential form is:

93729 = 3¹ × 157¹ × 199¹

Step-3: Factors of 93714

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

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

Step-4: Factors of 93729

List of positive integer factors of 93729 that divides 93714 without a remainder.

1, 3, 157, 199, 471, 597, 31243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93714 and 93729. The biggest common factor number is the GCF number.
So the greatest common factor 93714 and 93729 is 3.

Also check out the Least Common Multiple of 93714 and 93729