What is the Greatest Common Factor of 18323 and 18342?
Greatest common factor (GCF) of 18323 and 18342 is 1.
GCF(18323,18342) = 1
We will now calculate the prime factors of 18323 and 18342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18323 and 18342.
How to find the GCF of 18323 and 18342?
We will first find the prime factorization of 18323 and 18342. After we will calculate the factors of 18323 and 18342 and find the biggest common factor number .
Step-1: Prime Factorization of 18323
Prime factors of 18323 are 73, 251. Prime factorization of 18323 in exponential form is:
18323 = 731 × 2511
Step-2: Prime Factorization of 18342
Prime factors of 18342 are 2, 3, 1019. Prime factorization of 18342 in exponential form is:
18342 = 21 × 32 × 10191
Step-3: Factors of 18323
List of positive integer factors of 18323 that divides 18323 without a remainder.
1, 73, 251
Step-4: Factors of 18342
List of positive integer factors of 18342 that divides 18323 without a remainder.
1, 2, 3, 6, 9, 18, 1019, 2038, 3057, 6114, 9171
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 18323 and 18342. The biggest common factor number is the GCF number.
So the greatest common factor 18323 and 18342 is 1.
Also check out the Least Common Multiple of 18323 and 18342
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