What is the Greatest Common Factor of 64329 and 64347?
Greatest common factor (GCF) of 64329 and 64347 is 3.
GCF(64329,64347) = 3
We will now calculate the prime factors of 64329 and 64347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64329 and 64347.
How to find the GCF of 64329 and 64347?
We will first find the prime factorization of 64329 and 64347. After we will calculate the factors of 64329 and 64347 and find the biggest common factor number .
Step-1: Prime Factorization of 64329
Prime factors of 64329 are 3, 41, 523. Prime factorization of 64329 in exponential form is:
64329 = 31 × 411 × 5231
Step-2: Prime Factorization of 64347
Prime factors of 64347 are 3, 89, 241. Prime factorization of 64347 in exponential form is:
64347 = 31 × 891 × 2411
Step-3: Factors of 64329
List of positive integer factors of 64329 that divides 64329 without a remainder.
1, 3, 41, 123, 523, 1569, 21443
Step-4: Factors of 64347
List of positive integer factors of 64347 that divides 64329 without a remainder.
1, 3, 89, 241, 267, 723, 21449
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 64329 and 64347. The biggest common factor number is the GCF number.
So the greatest common factor 64329 and 64347 is 3.
Also check out the Least Common Multiple of 64329 and 64347
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