What is the Greatest Common Factor of 17227 and 17241?

Greatest common factor (GCF) of 17227 and 17241 is 7.

GCF(17227,17241) = 7

We will now calculate the prime factors of 17227 and 17241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17227 and 17241.

How to find the GCF of 17227 and 17241?

We will first find the prime factorization of 17227 and 17241. After we will calculate the factors of 17227 and 17241 and find the biggest common factor number .

Step-1: Prime Factorization of 17227

Prime factors of 17227 are 7, 23, 107. Prime factorization of 17227 in exponential form is:

17227 = 7¹ × 23¹ × 107¹

Step-2: Prime Factorization of 17241

Prime factors of 17241 are 3, 7, 821. Prime factorization of 17241 in exponential form is:

17241 = 3¹ × 7¹ × 821¹

Step-3: Factors of 17227

List of positive integer factors of 17227 that divides 17227 without a remainder.

1, 7, 23, 107, 161, 749, 2461

Step-4: Factors of 17241

List of positive integer factors of 17241 that divides 17227 without a remainder.

1, 3, 7, 21, 821, 2463, 5747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17227 and 17241. The biggest common factor number is the GCF number.
So the greatest common factor 17227 and 17241 is 7.

Also check out the Least Common Multiple of 17227 and 17241