What is the Greatest Common Factor of 34137 and 34143?
Greatest common factor (GCF) of 34137 and 34143 is 3.
GCF(34137,34143) = 3
We will now calculate the prime factors of 34137 and 34143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34137 and 34143.
How to find the GCF of 34137 and 34143?
We will first find the prime factorization of 34137 and 34143. After we will calculate the factors of 34137 and 34143 and find the biggest common factor number .
Step-1: Prime Factorization of 34137
Prime factors of 34137 are 3, 3793. Prime factorization of 34137 in exponential form is:
34137 = 32 × 37931
Step-2: Prime Factorization of 34143
Prime factors of 34143 are 3, 19, 599. Prime factorization of 34143 in exponential form is:
34143 = 31 × 191 × 5991
Step-3: Factors of 34137
List of positive integer factors of 34137 that divides 34137 without a remainder.
1, 3, 9, 3793, 11379
Step-4: Factors of 34143
List of positive integer factors of 34143 that divides 34137 without a remainder.
1, 3, 19, 57, 599, 1797, 11381
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 34137 and 34143. The biggest common factor number is the GCF number.
So the greatest common factor 34137 and 34143 is 3.
Also check out the Least Common Multiple of 34137 and 34143
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