What is the Greatest Common Factor of 17253 and 17262?

Greatest common factor (GCF) of 17253 and 17262 is 9.

GCF(17253,17262) = 9

We will now calculate the prime factors of 17253 and 17262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17253 and 17262.

How to find the GCF of 17253 and 17262?

We will first find the prime factorization of 17253 and 17262. After we will calculate the factors of 17253 and 17262 and find the biggest common factor number .

Step-1: Prime Factorization of 17253

Prime factors of 17253 are 3, 71. Prime factorization of 17253 in exponential form is:

17253 = 3⁵ × 71¹

Step-2: Prime Factorization of 17262

Prime factors of 17262 are 2, 3, 7, 137. Prime factorization of 17262 in exponential form is:

17262 = 2¹ × 3² × 7¹ × 137¹

Step-3: Factors of 17253

List of positive integer factors of 17253 that divides 17253 without a remainder.

1, 3, 9, 27, 71, 81, 213, 243, 639, 1917, 5751

Step-4: Factors of 17262

List of positive integer factors of 17262 that divides 17253 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 137, 274, 411, 822, 959, 1233, 1918, 2466, 2877, 5754, 8631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17253 and 17262. The biggest common factor number is the GCF number.
So the greatest common factor 17253 and 17262 is 9.

Also check out the Least Common Multiple of 17253 and 17262