What is the Greatest Common Factor of 17262 and 17269?

Greatest common factor (GCF) of 17262 and 17269 is 7.

GCF(17262,17269) = 7

We will now calculate the prime factors of 17262 and 17269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17262 and 17269.

How to find the GCF of 17262 and 17269?

We will first find the prime factorization of 17262 and 17269. After we will calculate the factors of 17262 and 17269 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 17269

Prime factors of 17269 are 7, 2467. Prime factorization of 17269 in exponential form is:

17269 = 7¹ × 2467¹

Step-3: Factors of 17262

List of positive integer factors of 17262 that divides 17262 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

Step-4: Factors of 17269

List of positive integer factors of 17269 that divides 17262 without a remainder.

1, 7, 2467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17262 and 17269. The biggest common factor number is the GCF number.
So the greatest common factor 17262 and 17269 is 7.

Also check out the Least Common Multiple of 17262 and 17269