What is the Greatest Common Factor of 714 and 723?
Greatest common factor (GCF) of 714 and 723 is 3.
GCF(714,723) = 3
We will now calculate the prime factors of 714 and 723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 714 and 723.
How to find the GCF of 714 and 723?
We will first find the prime factorization of 714 and 723. After we will calculate the factors of 714 and 723 and find the biggest common factor number .
Step-1: Prime Factorization of 714
Prime factors of 714 are 2, 3, 7, 17. Prime factorization of 714 in exponential form is:
714 = 21 × 31 × 71 × 171
Step-2: Prime Factorization of 723
Prime factors of 723 are 3, 241. Prime factorization of 723 in exponential form is:
723 = 31 × 2411
Step-3: Factors of 714
List of positive integer factors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357
Step-4: Factors of 723
List of positive integer factors of 723 that divides 714 without a remainder.
1, 3, 241
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 714 and 723. The biggest common factor number is the GCF number.
So the greatest common factor 714 and 723 is 3.
Also check out the Least Common Multiple of 714 and 723
Related Greatest Common Factors of 714
- GCF of 714 and 718
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- GCF of 714 and 725
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- GCF of 714 and 730
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Related Greatest Common Factors of 723
- GCF of 723 and 727
- GCF of 723 and 728
- GCF of 723 and 729
- GCF of 723 and 730
- GCF of 723 and 731
- GCF of 723 and 732
- GCF of 723 and 733
- GCF of 723 and 734
- GCF of 723 and 735
- GCF of 723 and 736
- GCF of 723 and 737
- GCF of 723 and 738
- GCF of 723 and 739
- GCF of 723 and 740
- GCF of 723 and 741
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