What is the Greatest Common Factor of 13723 and 13727?
Greatest common factor (GCF) of 13723 and 13727 is 1.
GCF(13723,13727) = 1
We will now calculate the prime factors of 13723 and 13727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13723 and 13727.
How to find the GCF of 13723 and 13727?
We will first find the prime factorization of 13723 and 13727. After we will calculate the factors of 13723 and 13727 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 13727
Prime factors of 13727 are 7, 37, 53. Prime factorization of 13727 in exponential form is:
13727 = 71 × 371 × 531
Step-3: Factors of 13723
List of positive integer factors of 13723 that divides 13723 without a remainder.
1
Step-4: Factors of 13727
List of positive integer factors of 13727 that divides 13723 without a remainder.
1, 7, 37, 53, 259, 371, 1961
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13723 and 13727. The biggest common factor number is the GCF number.
So the greatest common factor 13723 and 13727 is 1.
Also check out the Least Common Multiple of 13723 and 13727
Related Greatest Common Factors of 13723
- GCF of 13723 and 13727
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- GCF of 13723 and 13734
- GCF of 13723 and 13735
- GCF of 13723 and 13736
- GCF of 13723 and 13737
- GCF of 13723 and 13738
- GCF of 13723 and 13739
- GCF of 13723 and 13740
- GCF of 13723 and 13741
- GCF of 13723 and 13742
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Related Greatest Common Factors of 13727
- GCF of 13727 and 13731
- GCF of 13727 and 13732
- GCF of 13727 and 13733
- GCF of 13727 and 13734
- GCF of 13727 and 13735
- GCF of 13727 and 13736
- GCF of 13727 and 13737
- GCF of 13727 and 13738
- GCF of 13727 and 13739
- GCF of 13727 and 13740
- GCF of 13727 and 13741
- GCF of 13727 and 13742
- GCF of 13727 and 13743
- GCF of 13727 and 13744
- GCF of 13727 and 13745
- GCF of 13727 and 13746
- GCF of 13727 and 13747