What is the Greatest Common Factor of 17264 and 17272?

Greatest common factor (GCF) of 17264 and 17272 is 8.

GCF(17264,17272) = 8

We will now calculate the prime factors of 17264 and 17272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17264 and 17272.

How to find the GCF of 17264 and 17272?

We will first find the prime factorization of 17264 and 17272. After we will calculate the factors of 17264 and 17272 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 17272

Prime factors of 17272 are 2, 17, 127. Prime factorization of 17272 in exponential form is:

17272 = 2³ × 17¹ × 127¹

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 17272

List of positive integer factors of 17272 that divides 17264 without a remainder.

1, 2, 4, 8, 17, 34, 68, 127, 136, 254, 508, 1016, 2159, 4318, 8636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17264 and 17272. The biggest common factor number is the GCF number.
So the greatest common factor 17264 and 17272 is 8.

Also check out the Least Common Multiple of 17264 and 17272