What is the Greatest Common Factor of 13726 and 13734?
Greatest common factor (GCF) of 13726 and 13734 is 2.
GCF(13726,13734) = 2
We will now calculate the prime factors of 13726 and 13734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13726 and 13734.
How to find the GCF of 13726 and 13734?
We will first find the prime factorization of 13726 and 13734. After we will calculate the factors of 13726 and 13734 and find the biggest common factor number .
Step-1: Prime Factorization of 13726
Prime factors of 13726 are 2, 6863. Prime factorization of 13726 in exponential form is:
13726 = 21 × 68631
Step-2: Prime Factorization of 13734
Prime factors of 13734 are 2, 3, 7, 109. Prime factorization of 13734 in exponential form is:
13734 = 21 × 32 × 71 × 1091
Step-3: Factors of 13726
List of positive integer factors of 13726 that divides 13726 without a remainder.
1, 2, 6863
Step-4: Factors of 13734
List of positive integer factors of 13734 that divides 13726 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 109, 126, 218, 327, 654, 763, 981, 1526, 1962, 2289, 4578, 6867
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13726 and 13734. The biggest common factor number is the GCF number.
So the greatest common factor 13726 and 13734 is 2.
Also check out the Least Common Multiple of 13726 and 13734
Related Greatest Common Factors of 13726
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- GCF of 13726 and 13734
- GCF of 13726 and 13735
- GCF of 13726 and 13736
- GCF of 13726 and 13737
- GCF of 13726 and 13738
- GCF of 13726 and 13739
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- GCF of 13726 and 13742
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Related Greatest Common Factors of 13734
- GCF of 13734 and 13738
- GCF of 13734 and 13739
- GCF of 13734 and 13740
- GCF of 13734 and 13741
- GCF of 13734 and 13742
- GCF of 13734 and 13743
- GCF of 13734 and 13744
- GCF of 13734 and 13745
- GCF of 13734 and 13746
- GCF of 13734 and 13747
- GCF of 13734 and 13748
- GCF of 13734 and 13749
- GCF of 13734 and 13750
- GCF of 13734 and 13751
- GCF of 13734 and 13752
- GCF of 13734 and 13753
- GCF of 13734 and 13754