What is the Greatest Common Factor of 93714 and 93720?

Greatest common factor (GCF) of 93714 and 93720 is 6.

GCF(93714,93720) = 6

We will now calculate the prime factors of 93714 and 93720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93714 and 93720.

How to find the GCF of 93714 and 93720?

We will first find the prime factorization of 93714 and 93720. After we will calculate the factors of 93714 and 93720 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 93720

Prime factors of 93720 are 2, 3, 5, 11, 71. Prime factorization of 93720 in exponential form is:

93720 = 2³ × 3¹ × 5¹ × 11¹ × 71¹

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 93720

List of positive integer factors of 93720 that divides 93714 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 71, 88, 110, 120, 132, 142, 165, 213, 220, 264, 284, 330, 355, 426, 440, 568, 660, 710, 781, 852, 1065, 1320, 1420, 1562, 1704, 2130, 2343, 2840, 3124, 3905, 4260, 4686, 6248, 7810, 8520, 9372, 11715, 15620, 18744, 23430, 31240, 46860

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93714 and 93720. The biggest common factor number is the GCF number.
So the greatest common factor 93714 and 93720 is 6.

Also check out the Least Common Multiple of 93714 and 93720