What is the Greatest Common Factor of 9591 and 9609?
Greatest common factor (GCF) of 9591 and 9609 is 3.
GCF(9591,9609) = 3
We will now calculate the prime factors of 9591 and 9609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9591 and 9609.
How to find the GCF of 9591 and 9609?
We will first find the prime factorization of 9591 and 9609. After we will calculate the factors of 9591 and 9609 and find the biggest common factor number .
Step-1: Prime Factorization of 9591
Prime factors of 9591 are 3, 23, 139. Prime factorization of 9591 in exponential form is:
9591 = 31 × 231 × 1391
Step-2: Prime Factorization of 9609
Prime factors of 9609 are 3, 3203. Prime factorization of 9609 in exponential form is:
9609 = 31 × 32031
Step-3: Factors of 9591
List of positive integer factors of 9591 that divides 9591 without a remainder.
1, 3, 23, 69, 139, 417, 3197
Step-4: Factors of 9609
List of positive integer factors of 9609 that divides 9591 without a remainder.
1, 3, 3203
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9591 and 9609. The biggest common factor number is the GCF number.
So the greatest common factor 9591 and 9609 is 3.
Also check out the Least Common Multiple of 9591 and 9609
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