What is the Greatest Common Factor of 717 and 729?
Greatest common factor (GCF) of 717 and 729 is 3.
GCF(717,729) = 3
We will now calculate the prime factors of 717 and 729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 717 and 729.
How to find the GCF of 717 and 729?
We will first find the prime factorization of 717 and 729. After we will calculate the factors of 717 and 729 and find the biggest common factor number .
Step-1: Prime Factorization of 717
Prime factors of 717 are 3, 239. Prime factorization of 717 in exponential form is:
717 = 31 × 2391
Step-2: Prime Factorization of 729
Prime factors of 729 are 3. Prime factorization of 729 in exponential form is:
729 = 36
Step-3: Factors of 717
List of positive integer factors of 717 that divides 717 without a remainder.
1, 3, 239
Step-4: Factors of 729
List of positive integer factors of 729 that divides 717 without a remainder.
1, 3, 9, 27, 81, 243
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 717 and 729. The biggest common factor number is the GCF number.
So the greatest common factor 717 and 729 is 3.
Also check out the Least Common Multiple of 717 and 729
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