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What is the Greatest Common Factor of 21215 and 21227?

Greatest common factor (GCF) of 21215 and 21227 is 1.

GCF(21215,21227) = 1

We will now calculate the prime factors of 21215 and 21227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21215 and 21227.

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How to find the GCF of 21215 and 21227?

We will first find the prime factorization of 21215 and 21227. After we will calculate the factors of 21215 and 21227 and find the biggest common factor number .

Step-1: Prime Factorization of 21215

Prime factors of 21215 are 5, 4243. Prime factorization of 21215 in exponential form is:

21215 = 51 × 42431

Step-2: Prime Factorization of 21227

Prime factors of 21227 are 21227. Prime factorization of 21227 in exponential form is:

21227 = 212271

Step-3: Factors of 21215

List of positive integer factors of 21215 that divides 21215 without a remainder.

1, 5, 4243

Step-4: Factors of 21227

List of positive integer factors of 21227 that divides 21215 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21215 and 21227. The biggest common factor number is the GCF number.
So the greatest common factor 21215 and 21227 is 1.

Also check out the Least Common Multiple of 21215 and 21227