What is the Greatest Common Factor of 17110 and 17120?

Greatest common factor (GCF) of 17110 and 17120 is 10.

GCF(17110,17120) = 10

We will now calculate the prime factors of 17110 and 17120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17110 and 17120.

How to find the GCF of 17110 and 17120?

We will first find the prime factorization of 17110 and 17120. After we will calculate the factors of 17110 and 17120 and find the biggest common factor number .

Step-1: Prime Factorization of 17110

Prime factors of 17110 are 2, 5, 29, 59. Prime factorization of 17110 in exponential form is:

17110 = 2¹ × 5¹ × 29¹ × 59¹

Step-2: 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-3: Factors of 17110

List of positive integer factors of 17110 that divides 17110 without a remainder.

1, 2, 5, 10, 29, 58, 59, 118, 145, 290, 295, 590, 1711, 3422, 8555

Step-4: Factors of 17120

List of positive integer factors of 17120 that divides 17110 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17110 and 17120. The biggest common factor number is the GCF number.
So the greatest common factor 17110 and 17120 is 10.

Also check out the Least Common Multiple of 17110 and 17120