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What is the Greatest Common Factor of 20209 and 20214?

Greatest common factor (GCF) of 20209 and 20214 is 1.

GCF(20209,20214) = 1

We will now calculate the prime factors of 20209 and 20214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20209 and 20214.

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How to find the GCF of 20209 and 20214?

We will first find the prime factorization of 20209 and 20214. After we will calculate the factors of 20209 and 20214 and find the biggest common factor number .

Step-1: Prime Factorization of 20209

Prime factors of 20209 are 7, 2887. Prime factorization of 20209 in exponential form is:

20209 = 71 × 28871

Step-2: Prime Factorization of 20214

Prime factors of 20214 are 2, 3, 1123. Prime factorization of 20214 in exponential form is:

20214 = 21 × 32 × 11231

Step-3: Factors of 20209

List of positive integer factors of 20209 that divides 20209 without a remainder.

1, 7, 2887

Step-4: Factors of 20214

List of positive integer factors of 20214 that divides 20209 without a remainder.

1, 2, 3, 6, 9, 18, 1123, 2246, 3369, 6738, 10107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20209 and 20214. The biggest common factor number is the GCF number.
So the greatest common factor 20209 and 20214 is 1.

Also check out the Least Common Multiple of 20209 and 20214