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What is the Greatest Common Factor of 21431 and 21439?

Greatest common factor (GCF) of 21431 and 21439 is 1.

GCF(21431,21439) = 1

We will now calculate the prime factors of 21431 and 21439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21431 and 21439.

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How to find the GCF of 21431 and 21439?

We will first find the prime factorization of 21431 and 21439. After we will calculate the factors of 21431 and 21439 and find the biggest common factor number .

Step-1: Prime Factorization of 21431

Prime factors of 21431 are 29, 739. Prime factorization of 21431 in exponential form is:

21431 = 291 × 7391

Step-2: Prime Factorization of 21439

Prime factors of 21439 are 11, 1949. Prime factorization of 21439 in exponential form is:

21439 = 111 × 19491

Step-3: Factors of 21431

List of positive integer factors of 21431 that divides 21431 without a remainder.

1, 29, 739

Step-4: Factors of 21439

List of positive integer factors of 21439 that divides 21431 without a remainder.

1, 11, 1949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21431 and 21439. The biggest common factor number is the GCF number.
So the greatest common factor 21431 and 21439 is 1.

Also check out the Least Common Multiple of 21431 and 21439