What is the Greatest Common Factor of 342 and 357?
Greatest common factor (GCF) of 342 and 357 is 3.
GCF(342,357) = 3
We will now calculate the prime factors of 342 and 357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 342 and 357.
How to find the GCF of 342 and 357?
We will first find the prime factorization of 342 and 357. After we will calculate the factors of 342 and 357 and find the biggest common factor number .
Step-1: Prime Factorization of 342
Prime factors of 342 are 2, 3, 19. Prime factorization of 342 in exponential form is:
342 = 21 × 32 × 191
Step-2: Prime Factorization of 357
Prime factors of 357 are 3, 7, 17. Prime factorization of 357 in exponential form is:
357 = 31 × 71 × 171
Step-3: Factors of 342
List of positive integer factors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171
Step-4: Factors of 357
List of positive integer factors of 357 that divides 342 without a remainder.
1, 3, 7, 17, 21, 51, 119
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 342 and 357. The biggest common factor number is the GCF number.
So the greatest common factor 342 and 357 is 3.
Also check out the Least Common Multiple of 342 and 357
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