What is the Greatest Common Factor of 739 and 747?
Greatest common factor (GCF) of 739 and 747 is 1.
GCF(739,747) = 1
We will now calculate the prime factors of 739 and 747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 739 and 747.
How to find the GCF of 739 and 747?
We will first find the prime factorization of 739 and 747. After we will calculate the factors of 739 and 747 and find the biggest common factor number .
Step-1: Prime Factorization of 739
Prime factors of 739 are 739. Prime factorization of 739 in exponential form is:
739 = 7391
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 739
List of positive integer factors of 739 that divides 739 without a remainder.
1
Step-4: Factors of 747
List of positive integer factors of 747 that divides 739 without a remainder.
1, 3, 9, 83, 249
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 739 and 747. The biggest common factor number is the GCF number.
So the greatest common factor 739 and 747 is 1.
Also check out the Least Common Multiple of 739 and 747
Related Greatest Common Factors of 739
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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
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- GCF of 747 and 759
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- GCF of 747 and 762
- GCF of 747 and 763
- GCF of 747 and 764
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