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What is the Greatest Common Factor of 16489 and 16493?

Greatest common factor (GCF) of 16489 and 16493 is 1.

GCF(16489,16493) = 1

We will now calculate the prime factors of 16489 and 16493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16489 and 16493.

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How to find the GCF of 16489 and 16493?

We will first find the prime factorization of 16489 and 16493. After we will calculate the factors of 16489 and 16493 and find the biggest common factor number .

Step-1: Prime Factorization of 16489

Prime factors of 16489 are 11, 1499. Prime factorization of 16489 in exponential form is:

16489 = 111 × 14991

Step-2: Prime Factorization of 16493

Prime factors of 16493 are 16493. Prime factorization of 16493 in exponential form is:

16493 = 164931

Step-3: Factors of 16489

List of positive integer factors of 16489 that divides 16489 without a remainder.

1, 11, 1499

Step-4: Factors of 16493

List of positive integer factors of 16493 that divides 16489 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16489 and 16493. The biggest common factor number is the GCF number.
So the greatest common factor 16489 and 16493 is 1.

Also check out the Least Common Multiple of 16489 and 16493