What is the Greatest Common Factor of 723 and 729?
Greatest common factor (GCF) of 723 and 729 is 3.
GCF(723,729) = 3
We will now calculate the prime factors of 723 and 729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 723 and 729.
How to find the GCF of 723 and 729?
We will first find the prime factorization of 723 and 729. After we will calculate the factors of 723 and 729 and find the biggest common factor number .
Step-1: Prime Factorization of 723
Prime factors of 723 are 3, 241. Prime factorization of 723 in exponential form is:
723 = 31 × 2411
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 723
List of positive integer factors of 723 that divides 723 without a remainder.
1, 3, 241
Step-4: Factors of 729
List of positive integer factors of 729 that divides 723 without a remainder.
1, 3, 9, 27, 81, 243
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 723 and 729. The biggest common factor number is the GCF number.
So the greatest common factor 723 and 729 is 3.
Also check out the Least Common Multiple of 723 and 729
Related Greatest Common Factors of 723
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Related Greatest Common Factors of 729
- GCF of 729 and 733
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- GCF of 729 and 744
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