What is the Greatest Common Factor of 8328 and 8344?
Greatest common factor (GCF) of 8328 and 8344 is 8.
GCF(8328,8344) = 8
We will now calculate the prime factors of 8328 and 8344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8328 and 8344.
How to find the GCF of 8328 and 8344?
We will first find the prime factorization of 8328 and 8344. After we will calculate the factors of 8328 and 8344 and find the biggest common factor number .
Step-1: Prime Factorization of 8328
Prime factors of 8328 are 2, 3, 347. Prime factorization of 8328 in exponential form is:
8328 = 23 × 31 × 3471
Step-2: Prime Factorization of 8344
Prime factors of 8344 are 2, 7, 149. Prime factorization of 8344 in exponential form is:
8344 = 23 × 71 × 1491
Step-3: Factors of 8328
List of positive integer factors of 8328 that divides 8328 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 347, 694, 1041, 1388, 2082, 2776, 4164
Step-4: Factors of 8344
List of positive integer factors of 8344 that divides 8328 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56, 149, 298, 596, 1043, 1192, 2086, 4172
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8328 and 8344. The biggest common factor number is the GCF number.
So the greatest common factor 8328 and 8344 is 8.
Also check out the Least Common Multiple of 8328 and 8344
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