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What is the Greatest Common Factor of 21416 and 21433?

Greatest common factor (GCF) of 21416 and 21433 is 1.

GCF(21416,21433) = 1

We will now calculate the prime factors of 21416 and 21433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21416 and 21433.

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How to find the GCF of 21416 and 21433?

We will first find the prime factorization of 21416 and 21433. After we will calculate the factors of 21416 and 21433 and find the biggest common factor number .

Step-1: Prime Factorization of 21416

Prime factors of 21416 are 2, 2677. Prime factorization of 21416 in exponential form is:

21416 = 23 × 26771

Step-2: Prime Factorization of 21433

Prime factors of 21433 are 21433. Prime factorization of 21433 in exponential form is:

21433 = 214331

Step-3: Factors of 21416

List of positive integer factors of 21416 that divides 21416 without a remainder.

1, 2, 4, 8, 2677, 5354, 10708

Step-4: Factors of 21433

List of positive integer factors of 21433 that divides 21416 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21416 and 21433. The biggest common factor number is the GCF number.
So the greatest common factor 21416 and 21433 is 1.

Also check out the Least Common Multiple of 21416 and 21433