What is the Greatest Common Factor of 13723 and 13738?
Greatest common factor (GCF) of 13723 and 13738 is 1.
GCF(13723,13738) = 1
We will now calculate the prime factors of 13723 and 13738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13723 and 13738.
How to find the GCF of 13723 and 13738?
We will first find the prime factorization of 13723 and 13738. After we will calculate the factors of 13723 and 13738 and find the biggest common factor number .
Step-1: Prime Factorization of 13723
Prime factors of 13723 are 13723. Prime factorization of 13723 in exponential form is:
13723 = 137231
Step-2: Prime Factorization of 13738
Prime factors of 13738 are 2, 6869. Prime factorization of 13738 in exponential form is:
13738 = 21 × 68691
Step-3: Factors of 13723
List of positive integer factors of 13723 that divides 13723 without a remainder.
1
Step-4: Factors of 13738
List of positive integer factors of 13738 that divides 13723 without a remainder.
1, 2, 6869
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13723 and 13738. The biggest common factor number is the GCF number.
So the greatest common factor 13723 and 13738 is 1.
Also check out the Least Common Multiple of 13723 and 13738
Related Greatest Common Factors of 13723
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- GCF of 13723 and 13734
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- GCF of 13723 and 13738
- GCF of 13723 and 13739
- GCF of 13723 and 13740
- GCF of 13723 and 13741
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Related Greatest Common Factors of 13738
- GCF of 13738 and 13742
- GCF of 13738 and 13743
- GCF of 13738 and 13744
- GCF of 13738 and 13745
- GCF of 13738 and 13746
- GCF of 13738 and 13747
- GCF of 13738 and 13748
- GCF of 13738 and 13749
- GCF of 13738 and 13750
- GCF of 13738 and 13751
- GCF of 13738 and 13752
- GCF of 13738 and 13753
- GCF of 13738 and 13754
- GCF of 13738 and 13755
- GCF of 13738 and 13756
- GCF of 13738 and 13757
- GCF of 13738 and 13758