What is the Greatest Common Factor of 17120 and 17128?

Greatest common factor (GCF) of 17120 and 17128 is 8.

GCF(17120,17128) = 8

We will now calculate the prime factors of 17120 and 17128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17120 and 17128.

How to find the GCF of 17120 and 17128?

We will first find the prime factorization of 17120 and 17128. After we will calculate the factors of 17120 and 17128 and find the biggest common factor number .

Step-1: Prime Factorization of 17120

Prime factors of 17120 are 2, 5, 107. Prime factorization of 17120 in exponential form is:

17120 = 2⁵ × 5¹ × 107¹

Step-2: Prime Factorization of 17128

Prime factors of 17128 are 2, 2141. Prime factorization of 17128 in exponential form is:

17128 = 2³ × 2141¹

Step-3: Factors of 17120

List of positive integer factors of 17120 that divides 17120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 107, 160, 214, 428, 535, 856, 1070, 1712, 2140, 3424, 4280, 8560

Step-4: Factors of 17128

List of positive integer factors of 17128 that divides 17120 without a remainder.

1, 2, 4, 8, 2141, 4282, 8564

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17120 and 17128. The biggest common factor number is the GCF number.
So the greatest common factor 17120 and 17128 is 8.

Also check out the Least Common Multiple of 17120 and 17128