What is the Greatest Common Factor of 17264 and 17277?

Greatest common factor (GCF) of 17264 and 17277 is 13.

GCF(17264,17277) = 13

We will now calculate the prime factors of 17264 and 17277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17264 and 17277.

How to find the GCF of 17264 and 17277?

We will first find the prime factorization of 17264 and 17277. After we will calculate the factors of 17264 and 17277 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 17277

Prime factors of 17277 are 3, 13, 443. Prime factorization of 17277 in exponential form is:

17277 = 3¹ × 13¹ × 443¹

Step-3: Factors of 17264

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

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

Step-4: Factors of 17277

List of positive integer factors of 17277 that divides 17264 without a remainder.

1, 3, 13, 39, 443, 1329, 5759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17264 and 17277. The biggest common factor number is the GCF number.
So the greatest common factor 17264 and 17277 is 13.

Also check out the Least Common Multiple of 17264 and 17277