What is the Greatest Common Factor of 17202 and 17221?

Greatest common factor (GCF) of 17202 and 17221 is 1.

GCF(17202,17221) = 1

We will now calculate the prime factors of 17202 and 17221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17202 and 17221.

How to find the GCF of 17202 and 17221?

We will first find the prime factorization of 17202 and 17221. After we will calculate the factors of 17202 and 17221 and find the biggest common factor number .

Step-1: Prime Factorization of 17202

Prime factors of 17202 are 2, 3, 47, 61. Prime factorization of 17202 in exponential form is:

17202 = 2¹ × 3¹ × 47¹ × 61¹

Step-2: Prime Factorization of 17221

Prime factors of 17221 are 17, 1013. Prime factorization of 17221 in exponential form is:

17221 = 17¹ × 1013¹

Step-3: Factors of 17202

List of positive integer factors of 17202 that divides 17202 without a remainder.

1, 2, 3, 6, 47, 61, 94, 122, 141, 183, 282, 366, 2867, 5734, 8601

Step-4: Factors of 17221

List of positive integer factors of 17221 that divides 17202 without a remainder.

1, 17, 1013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17202 and 17221. The biggest common factor number is the GCF number.
So the greatest common factor 17202 and 17221 is 1.

Also check out the Least Common Multiple of 17202 and 17221