What is the Greatest Common Factor of 10845 and 10855?
Greatest common factor (GCF) of 10845 and 10855 is 5.
GCF(10845,10855) = 5
We will now calculate the prime factors of 10845 and 10855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10845 and 10855.
How to find the GCF of 10845 and 10855?
We will first find the prime factorization of 10845 and 10855. After we will calculate the factors of 10845 and 10855 and find the biggest common factor number .
Step-1: Prime Factorization of 10845
Prime factors of 10845 are 3, 5, 241. Prime factorization of 10845 in exponential form is:
10845 = 32 × 51 × 2411
Step-2: Prime Factorization of 10855
Prime factors of 10855 are 5, 13, 167. Prime factorization of 10855 in exponential form is:
10855 = 51 × 131 × 1671
Step-3: Factors of 10845
List of positive integer factors of 10845 that divides 10845 without a remainder.
1, 3, 5, 9, 15, 45, 241, 723, 1205, 2169, 3615
Step-4: Factors of 10855
List of positive integer factors of 10855 that divides 10845 without a remainder.
1, 5, 13, 65, 167, 835, 2171
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 10845 and 10855. The biggest common factor number is the GCF number.
So the greatest common factor 10845 and 10855 is 5.
Also check out the Least Common Multiple of 10845 and 10855
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