What is the Greatest Common Factor of 21214 and 21223?

Greatest common factor (GCF) of 21214 and 21223 is 1.

GCF(21214,21223) = 1

We will now calculate the prime factors of 21214 and 21223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21214 and 21223.

How to find the GCF of 21214 and 21223?

We will first find the prime factorization of 21214 and 21223. After we will calculate the factors of 21214 and 21223 and find the biggest common factor number .

Step-1: Prime Factorization of 21214

Prime factors of 21214 are 2, 10607. Prime factorization of 21214 in exponential form is:

21214 = 2¹ × 10607¹

Step-2: Prime Factorization of 21223

Prime factors of 21223 are 19, 1117. Prime factorization of 21223 in exponential form is:

21223 = 19¹ × 1117¹

Step-3: Factors of 21214

List of positive integer factors of 21214 that divides 21214 without a remainder.

1, 2, 10607

Step-4: Factors of 21223

List of positive integer factors of 21223 that divides 21214 without a remainder.

1, 19, 1117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21214 and 21223. The biggest common factor number is the GCF number.
So the greatest common factor 21214 and 21223 is 1.

Also check out the Least Common Multiple of 21214 and 21223