What is the Greatest Common Factor of 18345 and 18364?
Greatest common factor (GCF) of 18345 and 18364 is 1.
GCF(18345,18364) = 1
We will now calculate the prime factors of 18345 and 18364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18345 and 18364.
How to find the GCF of 18345 and 18364?
We will first find the prime factorization of 18345 and 18364. After we will calculate the factors of 18345 and 18364 and find the biggest common factor number .
Step-1: Prime Factorization of 18345
Prime factors of 18345 are 3, 5, 1223. Prime factorization of 18345 in exponential form is:
18345 = 31 × 51 × 12231
Step-2: Prime Factorization of 18364
Prime factors of 18364 are 2, 4591. Prime factorization of 18364 in exponential form is:
18364 = 22 × 45911
Step-3: Factors of 18345
List of positive integer factors of 18345 that divides 18345 without a remainder.
1, 3, 5, 15, 1223, 3669, 6115
Step-4: Factors of 18364
List of positive integer factors of 18364 that divides 18345 without a remainder.
1, 2, 4, 4591, 9182
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 18345 and 18364. The biggest common factor number is the GCF number.
So the greatest common factor 18345 and 18364 is 1.
Also check out the Least Common Multiple of 18345 and 18364
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