What is the Greatest Common Factor of 322 and 342?
Greatest common factor (GCF) of 322 and 342 is 2.
GCF(322,342) = 2
We will now calculate the prime factors of 322 and 342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 322 and 342.
How to find the GCF of 322 and 342?
We will first find the prime factorization of 322 and 342. After we will calculate the factors of 322 and 342 and find the biggest common factor number .
Step-1: Prime Factorization of 322
Prime factors of 322 are 2, 7, 23. Prime factorization of 322 in exponential form is:
322 = 21 × 71 × 231
Step-2: 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-3: Factors of 322
List of positive integer factors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161
Step-4: Factors of 342
List of positive integer factors of 342 that divides 322 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 322 and 342. The biggest common factor number is the GCF number.
So the greatest common factor 322 and 342 is 2.
Also check out the Least Common Multiple of 322 and 342
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