What is the Greatest Common Factor of 17564 and 17577?

Greatest common factor (GCF) of 17564 and 17577 is 1.

GCF(17564,17577) = 1

We will now calculate the prime factors of 17564 and 17577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17564 and 17577.

How to find the GCF of 17564 and 17577?

We will first find the prime factorization of 17564 and 17577. After we will calculate the factors of 17564 and 17577 and find the biggest common factor number .

Step-1: Prime Factorization of 17564

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

17564 = 2² × 4391¹

Step-2: Prime Factorization of 17577

Prime factors of 17577 are 3, 7, 31. Prime factorization of 17577 in exponential form is:

17577 = 3⁴ × 7¹ × 31¹

Step-3: Factors of 17564

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

1, 2, 4, 4391, 8782

Step-4: Factors of 17577

List of positive integer factors of 17577 that divides 17564 without a remainder.

1, 3, 7, 9, 21, 27, 31, 63, 81, 93, 189, 217, 279, 567, 651, 837, 1953, 2511, 5859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17564 and 17577. The biggest common factor number is the GCF number.
So the greatest common factor 17564 and 17577 is 1.

Also check out the Least Common Multiple of 17564 and 17577