What is the Greatest Common Factor of 13734 and 13745?
Greatest common factor (GCF) of 13734 and 13745 is 1.
GCF(13734,13745) = 1
We will now calculate the prime factors of 13734 and 13745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13734 and 13745.
How to find the GCF of 13734 and 13745?
We will first find the prime factorization of 13734 and 13745. After we will calculate the factors of 13734 and 13745 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 13745
Prime factors of 13745 are 5, 2749. Prime factorization of 13745 in exponential form is:
13745 = 51 × 27491
Step-3: Factors of 13734
List of positive integer factors of 13734 that divides 13734 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
Step-4: Factors of 13745
List of positive integer factors of 13745 that divides 13734 without a remainder.
1, 5, 2749
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13734 and 13745. The biggest common factor number is the GCF number.
So the greatest common factor 13734 and 13745 is 1.
Also check out the Least Common Multiple of 13734 and 13745
Related Greatest Common Factors of 13734
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- GCF of 13734 and 13745
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Related Greatest Common Factors of 13745
- GCF of 13745 and 13749
- GCF of 13745 and 13750
- GCF of 13745 and 13751
- GCF of 13745 and 13752
- GCF of 13745 and 13753
- GCF of 13745 and 13754
- GCF of 13745 and 13755
- GCF of 13745 and 13756
- GCF of 13745 and 13757
- GCF of 13745 and 13758
- GCF of 13745 and 13759
- GCF of 13745 and 13760
- GCF of 13745 and 13761
- GCF of 13745 and 13762
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