What is the Greatest Common Factor of 394 and 408?
Greatest common factor (GCF) of 394 and 408 is 2.
GCF(394,408) = 2
We will now calculate the prime factors of 394 and 408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 394 and 408.
How to find the GCF of 394 and 408?
We will first find the prime factorization of 394 and 408. After we will calculate the factors of 394 and 408 and find the biggest common factor number .
Step-1: Prime Factorization of 394
Prime factors of 394 are 2, 197. Prime factorization of 394 in exponential form is:
394 = 21 × 1971
Step-2: Prime Factorization of 408
Prime factors of 408 are 2, 3, 17. Prime factorization of 408 in exponential form is:
408 = 23 × 31 × 171
Step-3: Factors of 394
List of positive integer factors of 394 that divides 394 without a remainder.
1, 2, 197
Step-4: Factors of 408
List of positive integer factors of 408 that divides 394 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 394 and 408. The biggest common factor number is the GCF number.
So the greatest common factor 394 and 408 is 2.
Also check out the Least Common Multiple of 394 and 408
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