What is the Greatest Common Factor of 381 and 393?
Greatest common factor (GCF) of 381 and 393 is 3.
GCF(381,393) = 3
We will now calculate the prime factors of 381 and 393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 381 and 393.
How to find the GCF of 381 and 393?
We will first find the prime factorization of 381 and 393. After we will calculate the factors of 381 and 393 and find the biggest common factor number .
Step-1: Prime Factorization of 381
Prime factors of 381 are 3, 127. Prime factorization of 381 in exponential form is:
381 = 31 × 1271
Step-2: Prime Factorization of 393
Prime factors of 393 are 3, 131. Prime factorization of 393 in exponential form is:
393 = 31 × 1311
Step-3: Factors of 381
List of positive integer factors of 381 that divides 381 without a remainder.
1, 3, 127
Step-4: Factors of 393
List of positive integer factors of 393 that divides 381 without a remainder.
1, 3, 131
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 381 and 393. The biggest common factor number is the GCF number.
So the greatest common factor 381 and 393 is 3.
Also check out the Least Common Multiple of 381 and 393
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