What is the Greatest Common Factor of 16312 and 16318?
Greatest common factor (GCF) of 16312 and 16318 is 2.
GCF(16312,16318) = 2
We will now calculate the prime factors of 16312 and 16318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16312 and 16318.
How to find the GCF of 16312 and 16318?
We will first find the prime factorization of 16312 and 16318. After we will calculate the factors of 16312 and 16318 and find the biggest common factor number .
Step-1: Prime Factorization of 16312
Prime factors of 16312 are 2, 2039. Prime factorization of 16312 in exponential form is:
16312 = 23 × 20391
Step-2: Prime Factorization of 16318
Prime factors of 16318 are 2, 41, 199. Prime factorization of 16318 in exponential form is:
16318 = 21 × 411 × 1991
Step-3: Factors of 16312
List of positive integer factors of 16312 that divides 16312 without a remainder.
1, 2, 4, 8, 2039, 4078, 8156
Step-4: Factors of 16318
List of positive integer factors of 16318 that divides 16312 without a remainder.
1, 2, 41, 82, 199, 398, 8159
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16312 and 16318. The biggest common factor number is the GCF number.
So the greatest common factor 16312 and 16318 is 2.
Also check out the Least Common Multiple of 16312 and 16318
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Related Greatest Common Factors of 16318
- GCF of 16318 and 16322
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- GCF of 16318 and 16333
- GCF of 16318 and 16334
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