What is the Greatest Common Factor of 16589 and 16609?
Greatest common factor (GCF) of 16589 and 16609 is 1.
GCF(16589,16609) = 1
We will now calculate the prime factors of 16589 and 16609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16589 and 16609.
How to find the GCF of 16589 and 16609?
We will first find the prime factorization of 16589 and 16609. After we will calculate the factors of 16589 and 16609 and find the biggest common factor number .
Step-1: Prime Factorization of 16589
Prime factors of 16589 are 53, 313. Prime factorization of 16589 in exponential form is:
16589 = 531 × 3131
Step-2: Prime Factorization of 16609
Prime factors of 16609 are 17, 977. Prime factorization of 16609 in exponential form is:
16609 = 171 × 9771
Step-3: Factors of 16589
List of positive integer factors of 16589 that divides 16589 without a remainder.
1, 53, 313
Step-4: Factors of 16609
List of positive integer factors of 16609 that divides 16589 without a remainder.
1, 17, 977
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16589 and 16609. The biggest common factor number is the GCF number.
So the greatest common factor 16589 and 16609 is 1.
Also check out the Least Common Multiple of 16589 and 16609
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