What is the Greatest Common Factor of 21142 and 21148?

Greatest common factor (GCF) of 21142 and 21148 is 2.

GCF(21142,21148) = 2

We will now calculate the prime factors of 21142 and 21148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21142 and 21148.

How to find the GCF of 21142 and 21148?

We will first find the prime factorization of 21142 and 21148. After we will calculate the factors of 21142 and 21148 and find the biggest common factor number .

Step-1: Prime Factorization of 21142

Prime factors of 21142 are 2, 11, 31. Prime factorization of 21142 in exponential form is:

21142 = 2¹ × 11¹ × 31²

Step-2: Prime Factorization of 21148

Prime factors of 21148 are 2, 17, 311. Prime factorization of 21148 in exponential form is:

21148 = 2² × 17¹ × 311¹

Step-3: Factors of 21142

List of positive integer factors of 21142 that divides 21142 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682, 961, 1922, 10571

Step-4: Factors of 21148

List of positive integer factors of 21148 that divides 21142 without a remainder.

1, 2, 4, 17, 34, 68, 311, 622, 1244, 5287, 10574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21142 and 21148. The biggest common factor number is the GCF number.
So the greatest common factor 21142 and 21148 is 2.

Also check out the Least Common Multiple of 21142 and 21148