What is the Greatest Common Factor of 322 and 326?
Greatest common factor (GCF) of 322 and 326 is 2.
GCF(322,326) = 2
We will now calculate the prime factors of 322 and 326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 322 and 326.
How to find the GCF of 322 and 326?
We will first find the prime factorization of 322 and 326. After we will calculate the factors of 322 and 326 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 326
Prime factors of 326 are 2, 163. Prime factorization of 326 in exponential form is:
326 = 21 × 1631
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 326
List of positive integer factors of 326 that divides 322 without a remainder.
1, 2, 163
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 322 and 326. The biggest common factor number is the GCF number.
So the greatest common factor 322 and 326 is 2.
Also check out the Least Common Multiple of 322 and 326
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