What is the Greatest Common Factor of 18909 and 18928?
Greatest common factor (GCF) of 18909 and 18928 is 1.
GCF(18909,18928) = 1
We will now calculate the prime factors of 18909 and 18928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18909 and 18928.
How to find the GCF of 18909 and 18928?
We will first find the prime factorization of 18909 and 18928. After we will calculate the factors of 18909 and 18928 and find the biggest common factor number .
Step-1: Prime Factorization of 18909
Prime factors of 18909 are 3, 11, 191. Prime factorization of 18909 in exponential form is:
18909 = 32 × 111 × 1911
Step-2: Prime Factorization of 18928
Prime factors of 18928 are 2, 7, 13. Prime factorization of 18928 in exponential form is:
18928 = 24 × 71 × 132
Step-3: Factors of 18909
List of positive integer factors of 18909 that divides 18909 without a remainder.
1, 3, 9, 11, 33, 99, 191, 573, 1719, 2101, 6303
Step-4: Factors of 18928
List of positive integer factors of 18928 that divides 18909 without a remainder.
1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 169, 182, 208, 338, 364, 676, 728, 1183, 1352, 1456, 2366, 2704, 4732, 9464
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 18909 and 18928. The biggest common factor number is the GCF number.
So the greatest common factor 18909 and 18928 is 1.
Also check out the Least Common Multiple of 18909 and 18928
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- GCF of 18909 and 18925
- GCF of 18909 and 18926
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Related Greatest Common Factors of 18928
- GCF of 18928 and 18932
- GCF of 18928 and 18933
- GCF of 18928 and 18934
- GCF of 18928 and 18935
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- GCF of 18928 and 18937
- GCF of 18928 and 18938
- GCF of 18928 and 18939
- GCF of 18928 and 18940
- GCF of 18928 and 18941
- GCF of 18928 and 18942
- GCF of 18928 and 18943
- GCF of 18928 and 18944
- GCF of 18928 and 18945
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