What is the Greatest Common Factor of 334 and 354?
Greatest common factor (GCF) of 334 and 354 is 2.
GCF(334,354) = 2
We will now calculate the prime factors of 334 and 354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 334 and 354.
How to find the GCF of 334 and 354?
We will first find the prime factorization of 334 and 354. After we will calculate the factors of 334 and 354 and find the biggest common factor number .
Step-1: Prime Factorization of 334
Prime factors of 334 are 2, 167. Prime factorization of 334 in exponential form is:
334 = 21 × 1671
Step-2: Prime Factorization of 354
Prime factors of 354 are 2, 3, 59. Prime factorization of 354 in exponential form is:
354 = 21 × 31 × 591
Step-3: Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1, 2, 167
Step-4: Factors of 354
List of positive integer factors of 354 that divides 334 without a remainder.
1, 2, 3, 6, 59, 118, 177
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 334 and 354. The biggest common factor number is the GCF number.
So the greatest common factor 334 and 354 is 2.
Also check out the Least Common Multiple of 334 and 354
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