What is the Greatest Common Factor of 9147 and 9165?
Greatest common factor (GCF) of 9147 and 9165 is 3.
GCF(9147,9165) = 3
We will now calculate the prime factors of 9147 and 9165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9147 and 9165.
How to find the GCF of 9147 and 9165?
We will first find the prime factorization of 9147 and 9165. After we will calculate the factors of 9147 and 9165 and find the biggest common factor number .
Step-1: Prime Factorization of 9147
Prime factors of 9147 are 3, 3049. Prime factorization of 9147 in exponential form is:
9147 = 31 × 30491
Step-2: Prime Factorization of 9165
Prime factors of 9165 are 3, 5, 13, 47. Prime factorization of 9165 in exponential form is:
9165 = 31 × 51 × 131 × 471
Step-3: Factors of 9147
List of positive integer factors of 9147 that divides 9147 without a remainder.
1, 3, 3049
Step-4: Factors of 9165
List of positive integer factors of 9165 that divides 9147 without a remainder.
1, 3, 5, 13, 15, 39, 47, 65, 141, 195, 235, 611, 705, 1833, 3055
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9147 and 9165. The biggest common factor number is the GCF number.
So the greatest common factor 9147 and 9165 is 3.
Also check out the Least Common Multiple of 9147 and 9165
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