What is the Greatest Common Factor of 21126 and 21142?

Greatest common factor (GCF) of 21126 and 21142 is 2.

GCF(21126,21142) = 2

We will now calculate the prime factors of 21126 and 21142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21126 and 21142.

How to find the GCF of 21126 and 21142?

We will first find the prime factorization of 21126 and 21142. After we will calculate the factors of 21126 and 21142 and find the biggest common factor number .

Step-1: Prime Factorization of 21126

Prime factors of 21126 are 2, 3, 7, 503. Prime factorization of 21126 in exponential form is:

21126 = 2¹ × 3¹ × 7¹ × 503¹

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 21126

List of positive integer factors of 21126 that divides 21126 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 503, 1006, 1509, 3018, 3521, 7042, 10563

Step-4: Factors of 21142

List of positive integer factors of 21142 that divides 21126 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 21126 and 21142. The biggest common factor number is the GCF number.
So the greatest common factor 21126 and 21142 is 2.

Also check out the Least Common Multiple of 21126 and 21142