What is the Greatest Common Factor of 18043 and 18054?
Greatest common factor (GCF) of 18043 and 18054 is 1.
GCF(18043,18054) = 1
We will now calculate the prime factors of 18043 and 18054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18043 and 18054.
How to find the GCF of 18043 and 18054?
We will first find the prime factorization of 18043 and 18054. After we will calculate the factors of 18043 and 18054 and find the biggest common factor number .
Step-1: Prime Factorization of 18043
Prime factors of 18043 are 18043. Prime factorization of 18043 in exponential form is:
18043 = 180431
Step-2: Prime Factorization of 18054
Prime factors of 18054 are 2, 3, 17, 59. Prime factorization of 18054 in exponential form is:
18054 = 21 × 32 × 171 × 591
Step-3: Factors of 18043
List of positive integer factors of 18043 that divides 18043 without a remainder.
1
Step-4: Factors of 18054
List of positive integer factors of 18054 that divides 18043 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 59, 102, 118, 153, 177, 306, 354, 531, 1003, 1062, 2006, 3009, 6018, 9027
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 18043 and 18054. The biggest common factor number is the GCF number.
So the greatest common factor 18043 and 18054 is 1.
Also check out the Least Common Multiple of 18043 and 18054
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