What is the Greatest Common Factor of 17122 and 17128?

Greatest common factor (GCF) of 17122 and 17128 is 2.

GCF(17122,17128) = 2

We will now calculate the prime factors of 17122 and 17128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17122 and 17128.

How to find the GCF of 17122 and 17128?

We will first find the prime factorization of 17122 and 17128. After we will calculate the factors of 17122 and 17128 and find the biggest common factor number .

Step-1: Prime Factorization of 17122

Prime factors of 17122 are 2, 7, 1223. Prime factorization of 17122 in exponential form is:

17122 = 2¹ × 7¹ × 1223¹

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 17122

List of positive integer factors of 17122 that divides 17122 without a remainder.

1, 2, 7, 14, 1223, 2446, 8561

Step-4: Factors of 17128

List of positive integer factors of 17128 that divides 17122 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17122 and 17128. The biggest common factor number is the GCF number.
So the greatest common factor 17122 and 17128 is 2.

Also check out the Least Common Multiple of 17122 and 17128