What is the Greatest Common Factor of 729 and 734?
Greatest common factor (GCF) of 729 and 734 is 1.
GCF(729,734) = 1
We will now calculate the prime factors of 729 and 734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 729 and 734.
How to find the GCF of 729 and 734?
We will first find the prime factorization of 729 and 734. After we will calculate the factors of 729 and 734 and find the biggest common factor number .
Step-1: Prime Factorization of 729
Prime factors of 729 are 3. Prime factorization of 729 in exponential form is:
729 = 36
Step-2: Prime Factorization of 734
Prime factors of 734 are 2, 367. Prime factorization of 734 in exponential form is:
734 = 21 × 3671
Step-3: Factors of 729
List of positive integer factors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243
Step-4: Factors of 734
List of positive integer factors of 734 that divides 729 without a remainder.
1, 2, 367
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 729 and 734. The biggest common factor number is the GCF number.
So the greatest common factor 729 and 734 is 1.
Also check out the Least Common Multiple of 729 and 734
Related Greatest Common Factors of 729
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Related Greatest Common Factors of 734
- GCF of 734 and 738
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- GCF of 734 and 741
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- GCF of 734 and 745
- GCF of 734 and 746
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- GCF of 734 and 749
- GCF of 734 and 750
- GCF of 734 and 751
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