What is the Greatest Common Factor of 13743 and 13761?
Greatest common factor (GCF) of 13743 and 13761 is 9.
GCF(13743,13761) = 9
We will now calculate the prime factors of 13743 and 13761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13743 and 13761.
How to find the GCF of 13743 and 13761?
We will first find the prime factorization of 13743 and 13761. After we will calculate the factors of 13743 and 13761 and find the biggest common factor number .
Step-1: Prime Factorization of 13743
Prime factors of 13743 are 3, 509. Prime factorization of 13743 in exponential form is:
13743 = 33 × 5091
Step-2: Prime Factorization of 13761
Prime factors of 13761 are 3, 11, 139. Prime factorization of 13761 in exponential form is:
13761 = 32 × 111 × 1391
Step-3: Factors of 13743
List of positive integer factors of 13743 that divides 13743 without a remainder.
1, 3, 9, 27, 509, 1527, 4581
Step-4: Factors of 13761
List of positive integer factors of 13761 that divides 13743 without a remainder.
1, 3, 9, 11, 33, 99, 139, 417, 1251, 1529, 4587
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13743 and 13761. The biggest common factor number is the GCF number.
So the greatest common factor 13743 and 13761 is 9.
Also check out the Least Common Multiple of 13743 and 13761
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Related Greatest Common Factors of 13761
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