What is the Greatest Common Factor of 79910 and 79920?

Greatest common factor (GCF) of 79910 and 79920 is 10.

GCF(79910,79920) = 10

We will now calculate the prime factors of 79910 and 79920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79910 and 79920.

How to find the GCF of 79910 and 79920?

We will first find the prime factorization of 79910 and 79920. After we will calculate the factors of 79910 and 79920 and find the biggest common factor number .

Step-1: Prime Factorization of 79910

Prime factors of 79910 are 2, 5, 61, 131. Prime factorization of 79910 in exponential form is:

79910 = 2¹ × 5¹ × 61¹ × 131¹

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 79910

List of positive integer factors of 79910 that divides 79910 without a remainder.

1, 2, 5, 10, 61, 122, 131, 262, 305, 610, 655, 1310, 7991, 15982, 39955

Step-4: Factors of 79920

List of positive integer factors of 79920 that divides 79910 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 79910 and 79920. The biggest common factor number is the GCF number.
So the greatest common factor 79910 and 79920 is 10.

Also check out the Least Common Multiple of 79910 and 79920