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What is the Greatest Common Factor of 52209 and 52223?

Greatest common factor (GCF) of 52209 and 52223 is 1.

GCF(52209,52223) = 1

We will now calculate the prime factors of 52209 and 52223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52209 and 52223.

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How to find the GCF of 52209 and 52223?

We will first find the prime factorization of 52209 and 52223. After we will calculate the factors of 52209 and 52223 and find the biggest common factor number .

Step-1: Prime Factorization of 52209

Prime factors of 52209 are 3, 5801. Prime factorization of 52209 in exponential form is:

52209 = 32 × 58011

Step-2: Prime Factorization of 52223

Prime factors of 52223 are 52223. Prime factorization of 52223 in exponential form is:

52223 = 522231

Step-3: Factors of 52209

List of positive integer factors of 52209 that divides 52209 without a remainder.

1, 3, 9, 5801, 17403

Step-4: Factors of 52223

List of positive integer factors of 52223 that divides 52209 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52209 and 52223. The biggest common factor number is the GCF number.
So the greatest common factor 52209 and 52223 is 1.

Also check out the Least Common Multiple of 52209 and 52223