What is the Greatest Common Factor of 17549 and 17564?

Greatest common factor (GCF) of 17549 and 17564 is 1.

GCF(17549,17564) = 1

We will now calculate the prime factors of 17549 and 17564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17549 and 17564.

How to find the GCF of 17549 and 17564?

We will first find the prime factorization of 17549 and 17564. After we will calculate the factors of 17549 and 17564 and find the biggest common factor number .

Step-1: Prime Factorization of 17549

Prime factors of 17549 are 7, 23, 109. Prime factorization of 17549 in exponential form is:

17549 = 7¹ × 23¹ × 109¹

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 17549

List of positive integer factors of 17549 that divides 17549 without a remainder.

1, 7, 23, 109, 161, 763, 2507

Step-4: Factors of 17564

List of positive integer factors of 17564 that divides 17549 without a remainder.

1, 2, 4, 4391, 8782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17549 and 17564. The biggest common factor number is the GCF number.
So the greatest common factor 17549 and 17564 is 1.

Also check out the Least Common Multiple of 17549 and 17564