What is the Greatest Common Factor of 93720 and 93728?

Greatest common factor (GCF) of 93720 and 93728 is 8.

GCF(93720,93728) = 8

We will now calculate the prime factors of 93720 and 93728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93720 and 93728.

How to find the GCF of 93720 and 93728?

We will first find the prime factorization of 93720 and 93728. After we will calculate the factors of 93720 and 93728 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 93728

Prime factors of 93728 are 2, 29, 101. Prime factorization of 93728 in exponential form is:

93728 = 2⁵ × 29¹ × 101¹

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 93728

List of positive integer factors of 93728 that divides 93720 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 101, 116, 202, 232, 404, 464, 808, 928, 1616, 2929, 3232, 5858, 11716, 23432, 46864

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93720 and 93728. The biggest common factor number is the GCF number.
So the greatest common factor 93720 and 93728 is 8.

Also check out the Least Common Multiple of 93720 and 93728