What is the Greatest Common Factor of 322 and 340?
Greatest common factor (GCF) of 322 and 340 is 2.
GCF(322,340) = 2
We will now calculate the prime factors of 322 and 340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 322 and 340.
How to find the GCF of 322 and 340?
We will first find the prime factorization of 322 and 340. After we will calculate the factors of 322 and 340 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 340
Prime factors of 340 are 2, 5, 17. Prime factorization of 340 in exponential form is:
340 = 22 × 51 × 171
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 340
List of positive integer factors of 340 that divides 322 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 322 and 340. The biggest common factor number is the GCF number.
So the greatest common factor 322 and 340 is 2.
Also check out the Least Common Multiple of 322 and 340
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