What is the Greatest Common Factor of 312 and 317?
Greatest common factor (GCF) of 312 and 317 is 1.
GCF(312,317) = 1
We will now calculate the prime factors of 312 and 317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 312 and 317.
How to find the GCF of 312 and 317?
We will first find the prime factorization of 312 and 317. After we will calculate the factors of 312 and 317 and find the biggest common factor number .
Step-1: Prime Factorization of 312
Prime factors of 312 are 2, 3, 13. Prime factorization of 312 in exponential form is:
312 = 23 × 31 × 131
Step-2: Prime Factorization of 317
Prime factors of 317 are 317. Prime factorization of 317 in exponential form is:
317 = 3171
Step-3: Factors of 312
List of positive integer factors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156
Step-4: Factors of 317
List of positive integer factors of 317 that divides 312 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 312 and 317. The biggest common factor number is the GCF number.
So the greatest common factor 312 and 317 is 1.
Also check out the Least Common Multiple of 312 and 317
Related Greatest Common Factors of 312
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Related Greatest Common Factors of 317
- GCF of 317 and 321
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