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What is the Greatest Common Factor of 16413 and 16427?

Greatest common factor (GCF) of 16413 and 16427 is 1.

GCF(16413,16427) = 1

We will now calculate the prime factors of 16413 and 16427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16413 and 16427.

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How to find the GCF of 16413 and 16427?

We will first find the prime factorization of 16413 and 16427. After we will calculate the factors of 16413 and 16427 and find the biggest common factor number .

Step-1: Prime Factorization of 16413

Prime factors of 16413 are 3, 5471. Prime factorization of 16413 in exponential form is:

16413 = 31 × 54711

Step-2: Prime Factorization of 16427

Prime factors of 16427 are 16427. Prime factorization of 16427 in exponential form is:

16427 = 164271

Step-3: Factors of 16413

List of positive integer factors of 16413 that divides 16413 without a remainder.

1, 3, 5471

Step-4: Factors of 16427

List of positive integer factors of 16427 that divides 16413 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16413 and 16427. The biggest common factor number is the GCF number.
So the greatest common factor 16413 and 16427 is 1.

Also check out the Least Common Multiple of 16413 and 16427