What is the Greatest Common Factor of 21228 and 21242?

Greatest common factor (GCF) of 21228 and 21242 is 2.

GCF(21228,21242) = 2

We will now calculate the prime factors of 21228 and 21242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21228 and 21242.

How to find the GCF of 21228 and 21242?

We will first find the prime factorization of 21228 and 21242. After we will calculate the factors of 21228 and 21242 and find the biggest common factor number .

Step-1: Prime Factorization of 21228

Prime factors of 21228 are 2, 3, 29, 61. Prime factorization of 21228 in exponential form is:

21228 = 2² × 3¹ × 29¹ × 61¹

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 21228

List of positive integer factors of 21228 that divides 21228 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 61, 87, 116, 122, 174, 183, 244, 348, 366, 732, 1769, 3538, 5307, 7076, 10614

Step-4: Factors of 21242

List of positive integer factors of 21242 that divides 21228 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 21228 and 21242. The biggest common factor number is the GCF number.
So the greatest common factor 21228 and 21242 is 2.

Also check out the Least Common Multiple of 21228 and 21242