What is the Greatest Common Factor of 21128 and 21142?

Greatest common factor (GCF) of 21128 and 21142 is 2.

GCF(21128,21142) = 2

We will now calculate the prime factors of 21128 and 21142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21128 and 21142.

How to find the GCF of 21128 and 21142?

We will first find the prime factorization of 21128 and 21142. After we will calculate the factors of 21128 and 21142 and find the biggest common factor number .

Step-1: Prime Factorization of 21128

Prime factors of 21128 are 2, 19, 139. Prime factorization of 21128 in exponential form is:

21128 = 2³ × 19¹ × 139¹

Step-2: 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-3: Factors of 21128

List of positive integer factors of 21128 that divides 21128 without a remainder.

1, 2, 4, 8, 19, 38, 76, 139, 152, 278, 556, 1112, 2641, 5282, 10564

Step-4: Factors of 21142

List of positive integer factors of 21142 that divides 21128 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21128 and 21142. The biggest common factor number is the GCF number.
So the greatest common factor 21128 and 21142 is 2.

Also check out the Least Common Multiple of 21128 and 21142