What is the Greatest Common Factor of 21242 and 21256?

Greatest common factor (GCF) of 21242 and 21256 is 2.

GCF(21242,21256) = 2

We will now calculate the prime factors of 21242 and 21256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21242 and 21256.

How to find the GCF of 21242 and 21256?

We will first find the prime factorization of 21242 and 21256. After we will calculate the factors of 21242 and 21256 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21256

Prime factors of 21256 are 2, 2657. Prime factorization of 21256 in exponential form is:

21256 = 2³ × 2657¹

Step-3: Factors of 21242

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

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

Step-4: Factors of 21256

List of positive integer factors of 21256 that divides 21242 without a remainder.

1, 2, 4, 8, 2657, 5314, 10628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21242 and 21256. The biggest common factor number is the GCF number.
So the greatest common factor 21242 and 21256 is 2.

Also check out the Least Common Multiple of 21242 and 21256