What is the Greatest Common Factor of 6308 and 6328?
Greatest common factor (GCF) of 6308 and 6328 is 4.
GCF(6308,6328) = 4
We will now calculate the prime factors of 6308 and 6328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6308 and 6328.
How to find the GCF of 6308 and 6328?
We will first find the prime factorization of 6308 and 6328. After we will calculate the factors of 6308 and 6328 and find the biggest common factor number .
Step-1: Prime Factorization of 6308
Prime factors of 6308 are 2, 19, 83. Prime factorization of 6308 in exponential form is:
6308 = 22 × 191 × 831
Step-2: Prime Factorization of 6328
Prime factors of 6328 are 2, 7, 113. Prime factorization of 6328 in exponential form is:
6328 = 23 × 71 × 1131
Step-3: Factors of 6308
List of positive integer factors of 6308 that divides 6308 without a remainder.
1, 2, 4, 19, 38, 76, 83, 166, 332, 1577, 3154
Step-4: Factors of 6328
List of positive integer factors of 6328 that divides 6308 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56, 113, 226, 452, 791, 904, 1582, 3164
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 6308 and 6328. The biggest common factor number is the GCF number.
So the greatest common factor 6308 and 6328 is 4.
Also check out the Least Common Multiple of 6308 and 6328
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