What is the Greatest Common Factor of 20128 and 20145?

Greatest common factor (GCF) of 20128 and 20145 is 17.

GCF(20128,20145) = 17

We will now calculate the prime factors of 20128 and 20145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20128 and 20145.

How to find the GCF of 20128 and 20145?

We will first find the prime factorization of 20128 and 20145. After we will calculate the factors of 20128 and 20145 and find the biggest common factor number .

Step-1: Prime Factorization of 20128

Prime factors of 20128 are 2, 17, 37. Prime factorization of 20128 in exponential form is:

20128 = 2⁵ × 17¹ × 37¹

Step-2: Prime Factorization of 20145

Prime factors of 20145 are 3, 5, 17, 79. Prime factorization of 20145 in exponential form is:

20145 = 3¹ × 5¹ × 17¹ × 79¹

Step-3: Factors of 20128

List of positive integer factors of 20128 that divides 20128 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 37, 68, 74, 136, 148, 272, 296, 544, 592, 629, 1184, 1258, 2516, 5032, 10064

Step-4: Factors of 20145

List of positive integer factors of 20145 that divides 20128 without a remainder.

1, 3, 5, 15, 17, 51, 79, 85, 237, 255, 395, 1185, 1343, 4029, 6715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20128 and 20145. The biggest common factor number is the GCF number.
So the greatest common factor 20128 and 20145 is 17.

Also check out the Least Common Multiple of 20128 and 20145