What is the Greatest Common Factor of 93720 and 93730?

Greatest common factor (GCF) of 93720 and 93730 is 10.

GCF(93720,93730) = 10

We will now calculate the prime factors of 93720 and 93730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93720 and 93730.

How to find the GCF of 93720 and 93730?

We will first find the prime factorization of 93720 and 93730. After we will calculate the factors of 93720 and 93730 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 93730

Prime factors of 93730 are 2, 5, 7, 13, 103. Prime factorization of 93730 in exponential form is:

93730 = 2¹ × 5¹ × 7¹ × 13¹ × 103¹

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 93730

List of positive integer factors of 93730 that divides 93720 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 103, 130, 182, 206, 455, 515, 721, 910, 1030, 1339, 1442, 2678, 3605, 6695, 7210, 9373, 13390, 18746, 46865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93720 and 93730. The biggest common factor number is the GCF number.
So the greatest common factor 93720 and 93730 is 10.

Also check out the Least Common Multiple of 93720 and 93730