What is the Greatest Common Factor of 17251 and 17264?

Greatest common factor (GCF) of 17251 and 17264 is 13.

GCF(17251,17264) = 13

We will now calculate the prime factors of 17251 and 17264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17251 and 17264.

How to find the GCF of 17251 and 17264?

We will first find the prime factorization of 17251 and 17264. After we will calculate the factors of 17251 and 17264 and find the biggest common factor number .

Step-1: Prime Factorization of 17251

Prime factors of 17251 are 13, 1327. Prime factorization of 17251 in exponential form is:

17251 = 13¹ × 1327¹

Step-2: Prime Factorization of 17264

Prime factors of 17264 are 2, 13, 83. Prime factorization of 17264 in exponential form is:

17264 = 2⁴ × 13¹ × 83¹

Step-3: Factors of 17251

List of positive integer factors of 17251 that divides 17251 without a remainder.

1, 13, 1327

Step-4: Factors of 17264

List of positive integer factors of 17264 that divides 17251 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 83, 104, 166, 208, 332, 664, 1079, 1328, 2158, 4316, 8632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17251 and 17264. The biggest common factor number is the GCF number.
So the greatest common factor 17251 and 17264 is 13.

Also check out the Least Common Multiple of 17251 and 17264