What is the Greatest Common Factor of 378 and 384?
Greatest common factor (GCF) of 378 and 384 is 6.
GCF(378,384) = 6
We will now calculate the prime factors of 378 and 384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 378 and 384.
How to find the GCF of 378 and 384?
We will first find the prime factorization of 378 and 384. After we will calculate the factors of 378 and 384 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 384
Prime factors of 384 are 2, 3. Prime factorization of 384 in exponential form is:
384 = 27 × 31
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 384
List of positive integer factors of 384 that divides 378 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 378 and 384. The biggest common factor number is the GCF number.
So the greatest common factor 378 and 384 is 6.
Also check out the Least Common Multiple of 378 and 384
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