What is the Greatest Common Factor of 330 and 334?
Greatest common factor (GCF) of 330 and 334 is 2.
GCF(330,334) = 2
We will now calculate the prime factors of 330 and 334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 330 and 334.
How to find the GCF of 330 and 334?
We will first find the prime factorization of 330 and 334. After we will calculate the factors of 330 and 334 and find the biggest common factor number .
Step-1: Prime Factorization of 330
Prime factors of 330 are 2, 3, 5, 11. Prime factorization of 330 in exponential form is:
330 = 21 × 31 × 51 × 111
Step-2: Prime Factorization of 334
Prime factors of 334 are 2, 167. Prime factorization of 334 in exponential form is:
334 = 21 × 1671
Step-3: Factors of 330
List of positive integer factors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165
Step-4: Factors of 334
List of positive integer factors of 334 that divides 330 without a remainder.
1, 2, 167
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 330 and 334. The biggest common factor number is the GCF number.
So the greatest common factor 330 and 334 is 2.
Also check out the Least Common Multiple of 330 and 334
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