What is the Greatest Common Factor of 723 and 739?
Greatest common factor (GCF) of 723 and 739 is 1.
GCF(723,739) = 1
We will now calculate the prime factors of 723 and 739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 723 and 739.
How to find the GCF of 723 and 739?
We will first find the prime factorization of 723 and 739. After we will calculate the factors of 723 and 739 and find the biggest common factor number .
Step-1: Prime Factorization of 723
Prime factors of 723 are 3, 241. Prime factorization of 723 in exponential form is:
723 = 31 × 2411
Step-2: Prime Factorization of 739
Prime factors of 739 are 739. Prime factorization of 739 in exponential form is:
739 = 7391
Step-3: Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1, 3, 241
Step-4: Factors of 739
List of positive integer factors of 739 that divides 723 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 723 and 739. The biggest common factor number is the GCF number.
So the greatest common factor 723 and 739 is 1.
Also check out the Least Common Multiple of 723 and 739
Related Greatest Common Factors of 723
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Related Greatest Common Factors of 739
- GCF of 739 and 743
- GCF of 739 and 744
- GCF of 739 and 745
- GCF of 739 and 746
- GCF of 739 and 747
- GCF of 739 and 748
- GCF of 739 and 749
- GCF of 739 and 750
- GCF of 739 and 751
- GCF of 739 and 752
- GCF of 739 and 753
- GCF of 739 and 754
- GCF of 739 and 755
- GCF of 739 and 756
- GCF of 739 and 757
- GCF of 739 and 758
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