What is the Greatest Common Factor of 16290 and 16304?
Greatest common factor (GCF) of 16290 and 16304 is 2.
GCF(16290,16304) = 2
We will now calculate the prime factors of 16290 and 16304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16290 and 16304.
How to find the GCF of 16290 and 16304?
We will first find the prime factorization of 16290 and 16304. After we will calculate the factors of 16290 and 16304 and find the biggest common factor number .
Step-1: Prime Factorization of 16290
Prime factors of 16290 are 2, 3, 5, 181. Prime factorization of 16290 in exponential form is:
16290 = 21 × 32 × 51 × 1811
Step-2: Prime Factorization of 16304
Prime factors of 16304 are 2, 1019. Prime factorization of 16304 in exponential form is:
16304 = 24 × 10191
Step-3: Factors of 16290
List of positive integer factors of 16290 that divides 16290 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 181, 362, 543, 905, 1086, 1629, 1810, 2715, 3258, 5430, 8145
Step-4: Factors of 16304
List of positive integer factors of 16304 that divides 16290 without a remainder.
1, 2, 4, 8, 16, 1019, 2038, 4076, 8152
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16290 and 16304. The biggest common factor number is the GCF number.
So the greatest common factor 16290 and 16304 is 2.
Also check out the Least Common Multiple of 16290 and 16304
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