What is the Greatest Common Factor of 79920 and 79929?

Greatest common factor (GCF) of 79920 and 79929 is 9.

GCF(79920,79929) = 9

We will now calculate the prime factors of 79920 and 79929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79920 and 79929.

How to find the GCF of 79920 and 79929?

We will first find the prime factorization of 79920 and 79929. After we will calculate the factors of 79920 and 79929 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79929

Prime factors of 79929 are 3, 83, 107. Prime factorization of 79929 in exponential form is:

79929 = 3² × 83¹ × 107¹

Step-3: Factors of 79920

List of positive integer factors of 79920 that divides 79920 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

Step-4: Factors of 79929

List of positive integer factors of 79929 that divides 79920 without a remainder.

1, 3, 9, 83, 107, 249, 321, 747, 963, 8881, 26643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79920 and 79929. The biggest common factor number is the GCF number.
So the greatest common factor 79920 and 79929 is 9.

Also check out the Least Common Multiple of 79920 and 79929