What is the Greatest Common Factor of 18309 and 18324?
Greatest common factor (GCF) of 18309 and 18324 is 3.
GCF(18309,18324) = 3
We will now calculate the prime factors of 18309 and 18324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18309 and 18324.
How to find the GCF of 18309 and 18324?
We will first find the prime factorization of 18309 and 18324. After we will calculate the factors of 18309 and 18324 and find the biggest common factor number .
Step-1: Prime Factorization of 18309
Prime factors of 18309 are 3, 17, 359. Prime factorization of 18309 in exponential form is:
18309 = 31 × 171 × 3591
Step-2: Prime Factorization of 18324
Prime factors of 18324 are 2, 3, 509. Prime factorization of 18324 in exponential form is:
18324 = 22 × 32 × 5091
Step-3: Factors of 18309
List of positive integer factors of 18309 that divides 18309 without a remainder.
1, 3, 17, 51, 359, 1077, 6103
Step-4: Factors of 18324
List of positive integer factors of 18324 that divides 18309 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 509, 1018, 1527, 2036, 3054, 4581, 6108, 9162
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 18309 and 18324. The biggest common factor number is the GCF number.
So the greatest common factor 18309 and 18324 is 3.
Also check out the Least Common Multiple of 18309 and 18324
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