What is the Greatest Common Factor of 378 and 396?
Greatest common factor (GCF) of 378 and 396 is 18.
GCF(378,396) = 18
We will now calculate the prime factors of 378 and 396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 378 and 396.
How to find the GCF of 378 and 396?
We will first find the prime factorization of 378 and 396. After we will calculate the factors of 378 and 396 and find the biggest common factor number .
Step-1: Prime Factorization of 378
Prime factors of 378 are 2, 3, 7. Prime factorization of 378 in exponential form is:
378 = 21 × 33 × 71
Step-2: Prime Factorization of 396
Prime factors of 396 are 2, 3, 11. Prime factorization of 396 in exponential form is:
396 = 22 × 32 × 111
Step-3: Factors of 378
List of positive integer factors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189
Step-4: Factors of 396
List of positive integer factors of 396 that divides 378 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 378 and 396. The biggest common factor number is the GCF number.
So the greatest common factor 378 and 396 is 18.
Also check out the Least Common Multiple of 378 and 396
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