What is the Greatest Common Factor of 16865 and 16878?
Greatest common factor (GCF) of 16865 and 16878 is 1.
GCF(16865,16878) = 1
We will now calculate the prime factors of 16865 and 16878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16865 and 16878.
How to find the GCF of 16865 and 16878?
We will first find the prime factorization of 16865 and 16878. After we will calculate the factors of 16865 and 16878 and find the biggest common factor number .
Step-1: Prime Factorization of 16865
Prime factors of 16865 are 5, 3373. Prime factorization of 16865 in exponential form is:
16865 = 51 × 33731
Step-2: Prime Factorization of 16878
Prime factors of 16878 are 2, 3, 29, 97. Prime factorization of 16878 in exponential form is:
16878 = 21 × 31 × 291 × 971
Step-3: Factors of 16865
List of positive integer factors of 16865 that divides 16865 without a remainder.
1, 5, 3373
Step-4: Factors of 16878
List of positive integer factors of 16878 that divides 16865 without a remainder.
1, 2, 3, 6, 29, 58, 87, 97, 174, 194, 291, 582, 2813, 5626, 8439
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16865 and 16878. The biggest common factor number is the GCF number.
So the greatest common factor 16865 and 16878 is 1.
Also check out the Least Common Multiple of 16865 and 16878
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