What is the Greatest Common Factor of 9723 and 9743?
Greatest common factor (GCF) of 9723 and 9743 is 1.
GCF(9723,9743) = 1
We will now calculate the prime factors of 9723 and 9743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9723 and 9743.
How to find the GCF of 9723 and 9743?
We will first find the prime factorization of 9723 and 9743. After we will calculate the factors of 9723 and 9743 and find the biggest common factor number .
Step-1: Prime Factorization of 9723
Prime factors of 9723 are 3, 7, 463. Prime factorization of 9723 in exponential form is:
9723 = 31 × 71 × 4631
Step-2: Prime Factorization of 9743
Prime factors of 9743 are 9743. Prime factorization of 9743 in exponential form is:
9743 = 97431
Step-3: Factors of 9723
List of positive integer factors of 9723 that divides 9723 without a remainder.
1, 3, 7, 21, 463, 1389, 3241
Step-4: Factors of 9743
List of positive integer factors of 9743 that divides 9723 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9723 and 9743. The biggest common factor number is the GCF number.
So the greatest common factor 9723 and 9743 is 1.
Also check out the Least Common Multiple of 9723 and 9743
Related Greatest Common Factors of 9723
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- GCF of 9723 and 9731
- GCF of 9723 and 9732
- GCF of 9723 and 9733
- GCF of 9723 and 9734
- GCF of 9723 and 9735
- GCF of 9723 and 9736
- GCF of 9723 and 9737
- GCF of 9723 and 9738
- GCF of 9723 and 9739
- GCF of 9723 and 9740
- GCF of 9723 and 9741
- GCF of 9723 and 9742
- GCF of 9723 and 9743
Related Greatest Common Factors of 9743
- GCF of 9743 and 9747
- GCF of 9743 and 9748
- GCF of 9743 and 9749
- GCF of 9743 and 9750
- GCF of 9743 and 9751
- GCF of 9743 and 9752
- GCF of 9743 and 9753
- GCF of 9743 and 9754
- GCF of 9743 and 9755
- GCF of 9743 and 9756
- GCF of 9743 and 9757
- GCF of 9743 and 9758
- GCF of 9743 and 9759
- GCF of 9743 and 9760
- GCF of 9743 and 9761
- GCF of 9743 and 9762
- GCF of 9743 and 9763