What is the Greatest Common Factor of 17563 and 17576?

Greatest common factor (GCF) of 17563 and 17576 is 13.

GCF(17563,17576) = 13

We will now calculate the prime factors of 17563 and 17576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17563 and 17576.

How to find the GCF of 17563 and 17576?

We will first find the prime factorization of 17563 and 17576. After we will calculate the factors of 17563 and 17576 and find the biggest common factor number .

Step-1: Prime Factorization of 17563

Prime factors of 17563 are 7, 13, 193. Prime factorization of 17563 in exponential form is:

17563 = 7¹ × 13¹ × 193¹

Step-2: Prime Factorization of 17576

Prime factors of 17576 are 2, 13. Prime factorization of 17576 in exponential form is:

17576 = 2³ × 13³

Step-3: Factors of 17563

List of positive integer factors of 17563 that divides 17563 without a remainder.

1, 7, 13, 91, 193, 1351, 2509

Step-4: Factors of 17576

List of positive integer factors of 17576 that divides 17563 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676, 1352, 2197, 4394, 8788

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17563 and 17576. The biggest common factor number is the GCF number.
So the greatest common factor 17563 and 17576 is 13.

Also check out the Least Common Multiple of 17563 and 17576