What is the Greatest Common Factor of 316 and 322?
Greatest common factor (GCF) of 316 and 322 is 2.
GCF(316,322) = 2
We will now calculate the prime factors of 316 and 322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 316 and 322.
How to find the GCF of 316 and 322?
We will first find the prime factorization of 316 and 322. After we will calculate the factors of 316 and 322 and find the biggest common factor number .
Step-1: Prime Factorization of 316
Prime factors of 316 are 2, 79. Prime factorization of 316 in exponential form is:
316 = 22 × 791
Step-2: 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-3: Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158
Step-4: Factors of 322
List of positive integer factors of 322 that divides 316 without a remainder.
1, 2, 7, 14, 23, 46, 161
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 316 and 322. The biggest common factor number is the GCF number.
So the greatest common factor 316 and 322 is 2.
Also check out the Least Common Multiple of 316 and 322
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