What is the Greatest Common Factor of 729 and 738?
Greatest common factor (GCF) of 729 and 738 is 9.
GCF(729,738) = 9
We will now calculate the prime factors of 729 and 738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 729 and 738.
How to find the GCF of 729 and 738?
We will first find the prime factorization of 729 and 738. After we will calculate the factors of 729 and 738 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 738
Prime factors of 738 are 2, 3, 41. Prime factorization of 738 in exponential form is:
738 = 21 × 32 × 411
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 738
List of positive integer factors of 738 that divides 729 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 729 and 738. The biggest common factor number is the GCF number.
So the greatest common factor 729 and 738 is 9.
Also check out the Least Common Multiple of 729 and 738
Related Greatest Common Factors of 729
- GCF of 729 and 733
- GCF of 729 and 734
- GCF of 729 and 735
- GCF of 729 and 736
- GCF of 729 and 737
- GCF of 729 and 738
- GCF of 729 and 739
- GCF of 729 and 740
- GCF of 729 and 741
- GCF of 729 and 742
- GCF of 729 and 743
- GCF of 729 and 744
- GCF of 729 and 745
- GCF of 729 and 746
- GCF of 729 and 747
- GCF of 729 and 748
- GCF of 729 and 749
Related Greatest Common Factors of 738
- GCF of 738 and 742
- GCF of 738 and 743
- GCF of 738 and 744
- GCF of 738 and 745
- GCF of 738 and 746
- GCF of 738 and 747
- GCF of 738 and 748
- GCF of 738 and 749
- GCF of 738 and 750
- GCF of 738 and 751
- GCF of 738 and 752
- GCF of 738 and 753
- GCF of 738 and 754
- GCF of 738 and 755
- GCF of 738 and 756
- GCF of 738 and 757
- GCF of 738 and 758