What is the Greatest Common Factor of 733 and 747?
Greatest common factor (GCF) of 733 and 747 is 1.
GCF(733,747) = 1
We will now calculate the prime factors of 733 and 747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 733 and 747.
How to find the GCF of 733 and 747?
We will first find the prime factorization of 733 and 747. After we will calculate the factors of 733 and 747 and find the biggest common factor number .
Step-1: Prime Factorization of 733
Prime factors of 733 are 733. Prime factorization of 733 in exponential form is:
733 = 7331
Step-2: Prime Factorization of 747
Prime factors of 747 are 3, 83. Prime factorization of 747 in exponential form is:
747 = 32 × 831
Step-3: Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1
Step-4: Factors of 747
List of positive integer factors of 747 that divides 733 without a remainder.
1, 3, 9, 83, 249
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 733 and 747. The biggest common factor number is the GCF number.
So the greatest common factor 733 and 747 is 1.
Also check out the Least Common Multiple of 733 and 747
Related Greatest Common Factors of 733
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- GCF of 733 and 746
- GCF of 733 and 747
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- GCF of 733 and 749
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Related Greatest Common Factors of 747
- GCF of 747 and 751
- GCF of 747 and 752
- GCF of 747 and 753
- GCF of 747 and 754
- GCF of 747 and 755
- GCF of 747 and 756
- GCF of 747 and 757
- GCF of 747 and 758
- GCF of 747 and 759
- GCF of 747 and 760
- GCF of 747 and 761
- GCF of 747 and 762
- GCF of 747 and 763
- GCF of 747 and 764
- GCF of 747 and 765
- GCF of 747 and 766
- GCF of 747 and 767