What is the Greatest Common Factor of 20160 and 20177?

Greatest common factor (GCF) of 20160 and 20177 is 1.

GCF(20160,20177) = 1

We will now calculate the prime factors of 20160 and 20177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20160 and 20177.

How to find the GCF of 20160 and 20177?

We will first find the prime factorization of 20160 and 20177. After we will calculate the factors of 20160 and 20177 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 20177

Prime factors of 20177 are 20177. Prime factorization of 20177 in exponential form is:

20177 = 20177¹

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 20177

List of positive integer factors of 20177 that divides 20160 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20160 and 20177. The biggest common factor number is the GCF number.
So the greatest common factor 20160 and 20177 is 1.

Also check out the Least Common Multiple of 20160 and 20177