What is the Greatest Common Factor of 16709 and 16729?
Greatest common factor (GCF) of 16709 and 16729 is 1.
GCF(16709,16729) = 1
We will now calculate the prime factors of 16709 and 16729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16709 and 16729.
How to find the GCF of 16709 and 16729?
We will first find the prime factorization of 16709 and 16729. After we will calculate the factors of 16709 and 16729 and find the biggest common factor number .
Step-1: Prime Factorization of 16709
Prime factors of 16709 are 7, 11, 31. Prime factorization of 16709 in exponential form is:
16709 = 72 × 111 × 311
Step-2: Prime Factorization of 16729
Prime factors of 16729 are 16729. Prime factorization of 16729 in exponential form is:
16729 = 167291
Step-3: Factors of 16709
List of positive integer factors of 16709 that divides 16709 without a remainder.
1, 7, 11, 31, 49, 77, 217, 341, 539, 1519, 2387
Step-4: Factors of 16729
List of positive integer factors of 16729 that divides 16709 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16709 and 16729. The biggest common factor number is the GCF number.
So the greatest common factor 16709 and 16729 is 1.
Also check out the Least Common Multiple of 16709 and 16729
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Related Greatest Common Factors of 16729
- GCF of 16729 and 16733
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- GCF of 16729 and 16739
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- GCF of 16729 and 16745
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