What is the Greatest Common Factor of 333 and 337?
Greatest common factor (GCF) of 333 and 337 is 1.
GCF(333,337) = 1
We will now calculate the prime factors of 333 and 337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 333 and 337.
How to find the GCF of 333 and 337?
We will first find the prime factorization of 333 and 337. After we will calculate the factors of 333 and 337 and find the biggest common factor number .
Step-1: Prime Factorization of 333
Prime factors of 333 are 3, 37. Prime factorization of 333 in exponential form is:
333 = 32 × 371
Step-2: Prime Factorization of 337
Prime factors of 337 are 337. Prime factorization of 337 in exponential form is:
337 = 3371
Step-3: Factors of 333
List of positive integer factors of 333 that divides 333 without a remainder.
1, 3, 9, 37, 111
Step-4: Factors of 337
List of positive integer factors of 337 that divides 333 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 333 and 337. The biggest common factor number is the GCF number.
So the greatest common factor 333 and 337 is 1.
Also check out the Least Common Multiple of 333 and 337
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