What is the Greatest Common Factor of 6307 and 6327?
Greatest common factor (GCF) of 6307 and 6327 is 1.
GCF(6307,6327) = 1
We will now calculate the prime factors of 6307 and 6327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6307 and 6327.
How to find the GCF of 6307 and 6327?
We will first find the prime factorization of 6307 and 6327. After we will calculate the factors of 6307 and 6327 and find the biggest common factor number .
Step-1: Prime Factorization of 6307
Prime factors of 6307 are 7, 17, 53. Prime factorization of 6307 in exponential form is:
6307 = 71 × 171 × 531
Step-2: Prime Factorization of 6327
Prime factors of 6327 are 3, 19, 37. Prime factorization of 6327 in exponential form is:
6327 = 32 × 191 × 371
Step-3: Factors of 6307
List of positive integer factors of 6307 that divides 6307 without a remainder.
1, 7, 17, 53, 119, 371, 901
Step-4: Factors of 6327
List of positive integer factors of 6327 that divides 6307 without a remainder.
1, 3, 9, 19, 37, 57, 111, 171, 333, 703, 2109
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 6307 and 6327. The biggest common factor number is the GCF number.
So the greatest common factor 6307 and 6327 is 1.
Also check out the Least Common Multiple of 6307 and 6327
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