What is the Greatest Common Factor of 21142 and 21154?

Greatest common factor (GCF) of 21142 and 21154 is 2.

GCF(21142,21154) = 2

We will now calculate the prime factors of 21142 and 21154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21142 and 21154.

How to find the GCF of 21142 and 21154?

We will first find the prime factorization of 21142 and 21154. After we will calculate the factors of 21142 and 21154 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 21154

Prime factors of 21154 are 2, 7, 1511. Prime factorization of 21154 in exponential form is:

21154 = 2¹ × 7¹ × 1511¹

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 21154

List of positive integer factors of 21154 that divides 21142 without a remainder.

1, 2, 7, 14, 1511, 3022, 10577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21142 and 21154. The biggest common factor number is the GCF number.
So the greatest common factor 21142 and 21154 is 2.

Also check out the Least Common Multiple of 21142 and 21154