What is the Greatest Common Factor of 17264 and 17276?

Greatest common factor (GCF) of 17264 and 17276 is 4.

GCF(17264,17276) = 4

We will now calculate the prime factors of 17264 and 17276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17264 and 17276.

How to find the GCF of 17264 and 17276?

We will first find the prime factorization of 17264 and 17276. After we will calculate the factors of 17264 and 17276 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 17276

Prime factors of 17276 are 2, 7, 617. Prime factorization of 17276 in exponential form is:

17276 = 2² × 7¹ × 617¹

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 17276

List of positive integer factors of 17276 that divides 17264 without a remainder.

1, 2, 4, 7, 14, 28, 617, 1234, 2468, 4319, 8638

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17264 and 17276. The biggest common factor number is the GCF number.
So the greatest common factor 17264 and 17276 is 4.

Also check out the Least Common Multiple of 17264 and 17276