What is the Greatest Common Factor of 306 and 316?
Greatest common factor (GCF) of 306 and 316 is 2.
GCF(306,316) = 2
We will now calculate the prime factors of 306 and 316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 306 and 316.
How to find the GCF of 306 and 316?
We will first find the prime factorization of 306 and 316. After we will calculate the factors of 306 and 316 and find the biggest common factor number .
Step-1: Prime Factorization of 306
Prime factors of 306 are 2, 3, 17. Prime factorization of 306 in exponential form is:
306 = 21 × 32 × 171
Step-2: Prime Factorization of 316
Prime factors of 316 are 2, 79. Prime factorization of 316 in exponential form is:
316 = 22 × 791
Step-3: Factors of 306
List of positive integer factors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153
Step-4: Factors of 316
List of positive integer factors of 316 that divides 306 without a remainder.
1, 2, 4, 79, 158
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 306 and 316. The biggest common factor number is the GCF number.
So the greatest common factor 306 and 316 is 2.
Also check out the Least Common Multiple of 306 and 316
Related Greatest Common Factors of 306
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Related Greatest Common Factors of 316
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