What is the Greatest Common Factor of 13723 and 13732?
Greatest common factor (GCF) of 13723 and 13732 is 1.
GCF(13723,13732) = 1
We will now calculate the prime factors of 13723 and 13732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13723 and 13732.
How to find the GCF of 13723 and 13732?
We will first find the prime factorization of 13723 and 13732. After we will calculate the factors of 13723 and 13732 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 13732
Prime factors of 13732 are 2, 3433. Prime factorization of 13732 in exponential form is:
13732 = 22 × 34331
Step-3: Factors of 13723
List of positive integer factors of 13723 that divides 13723 without a remainder.
1
Step-4: Factors of 13732
List of positive integer factors of 13732 that divides 13723 without a remainder.
1, 2, 4, 3433, 6866
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13723 and 13732. The biggest common factor number is the GCF number.
So the greatest common factor 13723 and 13732 is 1.
Also check out the Least Common Multiple of 13723 and 13732
Related Greatest Common Factors of 13723
- GCF of 13723 and 13727
- GCF of 13723 and 13728
- GCF of 13723 and 13729
- GCF of 13723 and 13730
- GCF of 13723 and 13731
- GCF of 13723 and 13732
- GCF of 13723 and 13733
- 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
- GCF of 13723 and 13743
Related Greatest Common Factors of 13732
- GCF of 13732 and 13736
- GCF of 13732 and 13737
- GCF of 13732 and 13738
- GCF of 13732 and 13739
- GCF of 13732 and 13740
- GCF of 13732 and 13741
- GCF of 13732 and 13742
- GCF of 13732 and 13743
- GCF of 13732 and 13744
- GCF of 13732 and 13745
- GCF of 13732 and 13746
- GCF of 13732 and 13747
- GCF of 13732 and 13748
- GCF of 13732 and 13749
- GCF of 13732 and 13750
- GCF of 13732 and 13751
- GCF of 13732 and 13752