What is the Greatest Common Factor of 34149 and 34155?
Greatest common factor (GCF) of 34149 and 34155 is 3.
GCF(34149,34155) = 3
We will now calculate the prime factors of 34149 and 34155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34149 and 34155.
How to find the GCF of 34149 and 34155?
We will first find the prime factorization of 34149 and 34155. After we will calculate the factors of 34149 and 34155 and find the biggest common factor number .
Step-1: Prime Factorization of 34149
Prime factors of 34149 are 3, 11383. Prime factorization of 34149 in exponential form is:
34149 = 31 × 113831
Step-2: Prime Factorization of 34155
Prime factors of 34155 are 3, 5, 11, 23. Prime factorization of 34155 in exponential form is:
34155 = 33 × 51 × 111 × 231
Step-3: Factors of 34149
List of positive integer factors of 34149 that divides 34149 without a remainder.
1, 3, 11383
Step-4: Factors of 34155
List of positive integer factors of 34155 that divides 34149 without a remainder.
1, 3, 5, 9, 11, 15, 23, 27, 33, 45, 55, 69, 99, 115, 135, 165, 207, 253, 297, 345, 495, 621, 759, 1035, 1265, 1485, 2277, 3105, 3795, 6831, 11385
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 34149 and 34155. The biggest common factor number is the GCF number.
So the greatest common factor 34149 and 34155 is 3.
Also check out the Least Common Multiple of 34149 and 34155
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