What is the Greatest Common Factor of 93711 and 93720?

Greatest common factor (GCF) of 93711 and 93720 is 3.

GCF(93711,93720) = 3

We will now calculate the prime factors of 93711 and 93720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93711 and 93720.

How to find the GCF of 93711 and 93720?

We will first find the prime factorization of 93711 and 93720. After we will calculate the factors of 93711 and 93720 and find the biggest common factor number .

Step-1: Prime Factorization of 93711

Prime factors of 93711 are 3, 31237. Prime factorization of 93711 in exponential form is:

93711 = 3¹ × 31237¹

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 93711

List of positive integer factors of 93711 that divides 93711 without a remainder.

1, 3, 31237

Step-4: Factors of 93720

List of positive integer factors of 93720 that divides 93711 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 93711 and 93720. The biggest common factor number is the GCF number.
So the greatest common factor 93711 and 93720 is 3.

Also check out the Least Common Multiple of 93711 and 93720