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What is the Greatest Common Factor of 16207 and 16223?

Greatest common factor (GCF) of 16207 and 16223 is 1.

GCF(16207,16223) = 1

We will now calculate the prime factors of 16207 and 16223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16207 and 16223.

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How to find the GCF of 16207 and 16223?

We will first find the prime factorization of 16207 and 16223. After we will calculate the factors of 16207 and 16223 and find the biggest common factor number .

Step-1: Prime Factorization of 16207

Prime factors of 16207 are 19, 853. Prime factorization of 16207 in exponential form is:

16207 = 191 × 8531

Step-2: Prime Factorization of 16223

Prime factors of 16223 are 16223. Prime factorization of 16223 in exponential form is:

16223 = 162231

Step-3: Factors of 16207

List of positive integer factors of 16207 that divides 16207 without a remainder.

1, 19, 853

Step-4: Factors of 16223

List of positive integer factors of 16223 that divides 16207 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16207 and 16223. The biggest common factor number is the GCF number.
So the greatest common factor 16207 and 16223 is 1.

Also check out the Least Common Multiple of 16207 and 16223