What is the Greatest Common Factor of 318 and 324?
Greatest common factor (GCF) of 318 and 324 is 6.
GCF(318,324) = 6
We will now calculate the prime factors of 318 and 324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 318 and 324.
How to find the GCF of 318 and 324?
We will first find the prime factorization of 318 and 324. After we will calculate the factors of 318 and 324 and find the biggest common factor number .
Step-1: Prime Factorization of 318
Prime factors of 318 are 2, 3, 53. Prime factorization of 318 in exponential form is:
318 = 21 × 31 × 531
Step-2: Prime Factorization of 324
Prime factors of 324 are 2, 3. Prime factorization of 324 in exponential form is:
324 = 22 × 34
Step-3: Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159
Step-4: Factors of 324
List of positive integer factors of 324 that divides 318 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 318 and 324. The biggest common factor number is the GCF number.
So the greatest common factor 318 and 324 is 6.
Also check out the Least Common Multiple of 318 and 324
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