What is the Greatest Common Factor of 18015 and 18032?
Greatest common factor (GCF) of 18015 and 18032 is 1.
GCF(18015,18032) = 1
We will now calculate the prime factors of 18015 and 18032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18015 and 18032.
How to find the GCF of 18015 and 18032?
We will first find the prime factorization of 18015 and 18032. After we will calculate the factors of 18015 and 18032 and find the biggest common factor number .
Step-1: Prime Factorization of 18015
Prime factors of 18015 are 3, 5, 1201. Prime factorization of 18015 in exponential form is:
18015 = 31 × 51 × 12011
Step-2: Prime Factorization of 18032
Prime factors of 18032 are 2, 7, 23. Prime factorization of 18032 in exponential form is:
18032 = 24 × 72 × 231
Step-3: Factors of 18015
List of positive integer factors of 18015 that divides 18015 without a remainder.
1, 3, 5, 15, 1201, 3603, 6005
Step-4: Factors of 18032
List of positive integer factors of 18032 that divides 18015 without a remainder.
1, 2, 4, 7, 8, 14, 16, 23, 28, 46, 49, 56, 92, 98, 112, 161, 184, 196, 322, 368, 392, 644, 784, 1127, 1288, 2254, 2576, 4508, 9016
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 18015 and 18032. The biggest common factor number is the GCF number.
So the greatest common factor 18015 and 18032 is 1.
Also check out the Least Common Multiple of 18015 and 18032
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- GCF of 18032 and 18048
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