What is the Greatest Common Factor of 17262 and 17267?

Greatest common factor (GCF) of 17262 and 17267 is 1.

GCF(17262,17267) = 1

We will now calculate the prime factors of 17262 and 17267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17262 and 17267.

How to find the GCF of 17262 and 17267?

We will first find the prime factorization of 17262 and 17267. After we will calculate the factors of 17262 and 17267 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 17267

Prime factors of 17267 are 31, 557. Prime factorization of 17267 in exponential form is:

17267 = 31¹ × 557¹

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 17267

List of positive integer factors of 17267 that divides 17262 without a remainder.

1, 31, 557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17262 and 17267. The biggest common factor number is the GCF number.
So the greatest common factor 17262 and 17267 is 1.

Also check out the Least Common Multiple of 17262 and 17267