What is the Greatest Common Factor of 9709 and 9729?
Greatest common factor (GCF) of 9709 and 9729 is 1.
GCF(9709,9729) = 1
We will now calculate the prime factors of 9709 and 9729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9709 and 9729.
How to find the GCF of 9709 and 9729?
We will first find the prime factorization of 9709 and 9729. After we will calculate the factors of 9709 and 9729 and find the biggest common factor number .
Step-1: Prime Factorization of 9709
Prime factors of 9709 are 7, 19, 73. Prime factorization of 9709 in exponential form is:
9709 = 71 × 191 × 731
Step-2: Prime Factorization of 9729
Prime factors of 9729 are 3, 23, 47. Prime factorization of 9729 in exponential form is:
9729 = 32 × 231 × 471
Step-3: Factors of 9709
List of positive integer factors of 9709 that divides 9709 without a remainder.
1, 7, 19, 73, 133, 511, 1387
Step-4: Factors of 9729
List of positive integer factors of 9729 that divides 9709 without a remainder.
1, 3, 9, 23, 47, 69, 141, 207, 423, 1081, 3243
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9709 and 9729. The biggest common factor number is the GCF number.
So the greatest common factor 9709 and 9729 is 1.
Also check out the Least Common Multiple of 9709 and 9729
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Related Greatest Common Factors of 9729
- GCF of 9729 and 9733
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- GCF of 9729 and 9745
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