What is the Greatest Common Factor of 728 and 733?
Greatest common factor (GCF) of 728 and 733 is 1.
GCF(728,733) = 1
We will now calculate the prime factors of 728 and 733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 728 and 733.
How to find the GCF of 728 and 733?
We will first find the prime factorization of 728 and 733. After we will calculate the factors of 728 and 733 and find the biggest common factor number .
Step-1: Prime Factorization of 728
Prime factors of 728 are 2, 7, 13. Prime factorization of 728 in exponential form is:
728 = 23 × 71 × 131
Step-2: Prime Factorization of 733
Prime factors of 733 are 733. Prime factorization of 733 in exponential form is:
733 = 7331
Step-3: Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364
Step-4: Factors of 733
List of positive integer factors of 733 that divides 728 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 728 and 733. The biggest common factor number is the GCF number.
So the greatest common factor 728 and 733 is 1.
Also check out the Least Common Multiple of 728 and 733
Related Greatest Common Factors of 728
- GCF of 728 and 732
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- GCF of 728 and 744
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- GCF of 728 and 746
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- GCF of 728 and 748
Related Greatest Common Factors of 733
- GCF of 733 and 737
- GCF of 733 and 738
- GCF of 733 and 739
- GCF of 733 and 740
- GCF of 733 and 741
- GCF of 733 and 742
- GCF of 733 and 743
- GCF of 733 and 744
- GCF of 733 and 745
- GCF of 733 and 746
- GCF of 733 and 747
- GCF of 733 and 748
- GCF of 733 and 749
- GCF of 733 and 750
- GCF of 733 and 751
- GCF of 733 and 752
- GCF of 733 and 753