What is the Greatest Common Factor of 79920 and 79940?

Greatest common factor (GCF) of 79920 and 79940 is 20.

GCF(79920,79940) = 20

We will now calculate the prime factors of 79920 and 79940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79920 and 79940.

How to find the GCF of 79920 and 79940?

We will first find the prime factorization of 79920 and 79940. After we will calculate the factors of 79920 and 79940 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 79940

Prime factors of 79940 are 2, 5, 7, 571. Prime factorization of 79940 in exponential form is:

79940 = 2² × 5¹ × 7¹ × 571¹

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 79940

List of positive integer factors of 79940 that divides 79920 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 571, 1142, 2284, 2855, 3997, 5710, 7994, 11420, 15988, 19985, 39970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79920 and 79940. The biggest common factor number is the GCF number.
So the greatest common factor 79920 and 79940 is 20.

Also check out the Least Common Multiple of 79920 and 79940