What is the Greatest Common Factor of 16790 and 16810?
Greatest common factor (GCF) of 16790 and 16810 is 10.
GCF(16790,16810) = 10
We will now calculate the prime factors of 16790 and 16810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16790 and 16810.
How to find the GCF of 16790 and 16810?
We will first find the prime factorization of 16790 and 16810. After we will calculate the factors of 16790 and 16810 and find the biggest common factor number .
Step-1: Prime Factorization of 16790
Prime factors of 16790 are 2, 5, 23, 73. Prime factorization of 16790 in exponential form is:
16790 = 21 × 51 × 231 × 731
Step-2: Prime Factorization of 16810
Prime factors of 16810 are 2, 5, 41. Prime factorization of 16810 in exponential form is:
16810 = 21 × 51 × 412
Step-3: Factors of 16790
List of positive integer factors of 16790 that divides 16790 without a remainder.
1, 2, 5, 10, 23, 46, 73, 115, 146, 230, 365, 730, 1679, 3358, 8395
Step-4: Factors of 16810
List of positive integer factors of 16810 that divides 16790 without a remainder.
1, 2, 5, 10, 41, 82, 205, 410, 1681, 3362, 8405
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16790 and 16810. The biggest common factor number is the GCF number.
So the greatest common factor 16790 and 16810 is 10.
Also check out the Least Common Multiple of 16790 and 16810
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