What is the Greatest Common Factor of 79904 and 79920?

Greatest common factor (GCF) of 79904 and 79920 is 16.

GCF(79904,79920) = 16

We will now calculate the prime factors of 79904 and 79920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79904 and 79920.

How to find the GCF of 79904 and 79920?

We will first find the prime factorization of 79904 and 79920. After we will calculate the factors of 79904 and 79920 and find the biggest common factor number .

Step-1: Prime Factorization of 79904

Prime factors of 79904 are 2, 11, 227. Prime factorization of 79904 in exponential form is:

79904 = 2⁵ × 11¹ × 227¹

Step-2: Prime Factorization of 79920

Prime factors of 79920 are 2, 3, 5, 37. Prime factorization of 79920 in exponential form is:

79920 = 2⁴ × 3³ × 5¹ × 37¹

Step-3: Factors of 79904

List of positive integer factors of 79904 that divides 79904 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 227, 352, 454, 908, 1816, 2497, 3632, 4994, 7264, 9988, 19976, 39952

Step-4: Factors of 79920

List of positive integer factors of 79920 that divides 79904 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 37, 40, 45, 48, 54, 60, 72, 74, 80, 90, 108, 111, 120, 135, 144, 148, 180, 185, 216, 222, 240, 270, 296, 333, 360, 370, 432, 444, 540, 555, 592, 666, 720, 740, 888, 999, 1080, 1110, 1332, 1480, 1665, 1776, 1998, 2160, 2220, 2664, 2960, 3330, 3996, 4440, 4995, 5328, 6660, 7992, 8880, 9990, 13320, 15984, 19980, 26640, 39960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79904 and 79920. The biggest common factor number is the GCF number.
So the greatest common factor 79904 and 79920 is 16.

Also check out the Least Common Multiple of 79904 and 79920