What is the Greatest Common Factor of 21223 and 21242?

Greatest common factor (GCF) of 21223 and 21242 is 19.

GCF(21223,21242) = 19

We will now calculate the prime factors of 21223 and 21242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21223 and 21242.

How to find the GCF of 21223 and 21242?

We will first find the prime factorization of 21223 and 21242. After we will calculate the factors of 21223 and 21242 and find the biggest common factor number .

Step-1: Prime Factorization of 21223

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

21223 = 19¹ × 1117¹

Step-2: Prime Factorization of 21242

Prime factors of 21242 are 2, 13, 19, 43. Prime factorization of 21242 in exponential form is:

21242 = 2¹ × 13¹ × 19¹ × 43¹

Step-3: Factors of 21223

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

1, 19, 1117

Step-4: Factors of 21242

List of positive integer factors of 21242 that divides 21223 without a remainder.

1, 2, 13, 19, 26, 38, 43, 86, 247, 494, 559, 817, 1118, 1634, 10621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21223 and 21242. The biggest common factor number is the GCF number.
So the greatest common factor 21223 and 21242 is 19.

Also check out the Least Common Multiple of 21223 and 21242