What is the Greatest Common Factor of 93720 and 93729?

Greatest common factor (GCF) of 93720 and 93729 is 3.

GCF(93720,93729) = 3

We will now calculate the prime factors of 93720 and 93729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93720 and 93729.

How to find the GCF of 93720 and 93729?

We will first find the prime factorization of 93720 and 93729. After we will calculate the factors of 93720 and 93729 and find the biggest common factor number .

Step-1: 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-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 93720

List of positive integer factors of 93720 that divides 93720 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

Step-4: Factors of 93729

List of positive integer factors of 93729 that divides 93720 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93720 and 93729. The biggest common factor number is the GCF number.
So the greatest common factor 93720 and 93729 is 3.

Also check out the Least Common Multiple of 93720 and 93729