What is the Greatest Common Factor of 17546 and 17564?

Greatest common factor (GCF) of 17546 and 17564 is 2.

GCF(17546,17564) = 2

We will now calculate the prime factors of 17546 and 17564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17546 and 17564.

How to find the GCF of 17546 and 17564?

We will first find the prime factorization of 17546 and 17564. After we will calculate the factors of 17546 and 17564 and find the biggest common factor number .

Step-1: Prime Factorization of 17546

Prime factors of 17546 are 2, 31, 283. Prime factorization of 17546 in exponential form is:

17546 = 2¹ × 31¹ × 283¹

Step-2: Prime Factorization of 17564

Prime factors of 17564 are 2, 4391. Prime factorization of 17564 in exponential form is:

17564 = 2² × 4391¹

Step-3: Factors of 17546

List of positive integer factors of 17546 that divides 17546 without a remainder.

1, 2, 31, 62, 283, 566, 8773

Step-4: Factors of 17564

List of positive integer factors of 17564 that divides 17546 without a remainder.

1, 2, 4, 4391, 8782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17546 and 17564. The biggest common factor number is the GCF number.
So the greatest common factor 17546 and 17564 is 2.

Also check out the Least Common Multiple of 17546 and 17564