What is the Greatest Common Factor of 13609 and 13617?
Greatest common factor (GCF) of 13609 and 13617 is 1.
GCF(13609,13617) = 1
We will now calculate the prime factors of 13609 and 13617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13609 and 13617.
How to find the GCF of 13609 and 13617?
We will first find the prime factorization of 13609 and 13617. After we will calculate the factors of 13609 and 13617 and find the biggest common factor number .
Step-1: Prime Factorization of 13609
Prime factors of 13609 are 31, 439. Prime factorization of 13609 in exponential form is:
13609 = 311 × 4391
Step-2: Prime Factorization of 13617
Prime factors of 13617 are 3, 17, 89. Prime factorization of 13617 in exponential form is:
13617 = 32 × 171 × 891
Step-3: Factors of 13609
List of positive integer factors of 13609 that divides 13609 without a remainder.
1, 31, 439
Step-4: Factors of 13617
List of positive integer factors of 13617 that divides 13609 without a remainder.
1, 3, 9, 17, 51, 89, 153, 267, 801, 1513, 4539
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13609 and 13617. The biggest common factor number is the GCF number.
So the greatest common factor 13609 and 13617 is 1.
Also check out the Least Common Multiple of 13609 and 13617
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