What is the Greatest Common Factor of 13716 and 13734?
Greatest common factor (GCF) of 13716 and 13734 is 18.
GCF(13716,13734) = 18
We will now calculate the prime factors of 13716 and 13734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13716 and 13734.
How to find the GCF of 13716 and 13734?
We will first find the prime factorization of 13716 and 13734. After we will calculate the factors of 13716 and 13734 and find the biggest common factor number .
Step-1: Prime Factorization of 13716
Prime factors of 13716 are 2, 3, 127. Prime factorization of 13716 in exponential form is:
13716 = 22 × 33 × 1271
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 13716
List of positive integer factors of 13716 that divides 13716 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 127, 254, 381, 508, 762, 1143, 1524, 2286, 3429, 4572, 6858
Step-4: Factors of 13734
List of positive integer factors of 13734 that divides 13716 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 13716 and 13734. The biggest common factor number is the GCF number.
So the greatest common factor 13716 and 13734 is 18.
Also check out the Least Common Multiple of 13716 and 13734
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Related Greatest Common Factors of 13734
- GCF of 13734 and 13738
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- GCF of 13734 and 13744
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- GCF of 13734 and 13750
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