What is the Greatest Common Factor of 20160 and 20176?

Greatest common factor (GCF) of 20160 and 20176 is 16.

GCF(20160,20176) = 16

We will now calculate the prime factors of 20160 and 20176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20160 and 20176.

How to find the GCF of 20160 and 20176?

We will first find the prime factorization of 20160 and 20176. After we will calculate the factors of 20160 and 20176 and find the biggest common factor number .

Step-1: Prime Factorization of 20160

Prime factors of 20160 are 2, 3, 5, 7. Prime factorization of 20160 in exponential form is:

20160 = 2⁶ × 3² × 5¹ × 7¹

Step-2: Prime Factorization of 20176

Prime factors of 20176 are 2, 13, 97. Prime factorization of 20176 in exponential form is:

20176 = 2⁴ × 13¹ × 97¹

Step-3: Factors of 20160

List of positive integer factors of 20160 that divides 20160 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 45, 48, 56, 60, 63, 64, 70, 72, 80, 84, 90, 96, 105, 112, 120, 126, 140, 144, 160, 168, 180, 192, 210, 224, 240, 252, 280, 288, 315, 320, 336, 360, 420, 448, 480, 504, 560, 576, 630, 672, 720, 840, 960, 1008, 1120, 1260, 1344, 1440, 1680, 2016, 2240, 2520, 2880, 3360, 4032, 5040, 6720, 10080

Step-4: Factors of 20176

List of positive integer factors of 20176 that divides 20160 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 97, 104, 194, 208, 388, 776, 1261, 1552, 2522, 5044, 10088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20160 and 20176. The biggest common factor number is the GCF number.
So the greatest common factor 20160 and 20176 is 16.

Also check out the Least Common Multiple of 20160 and 20176