What is the Greatest Common Factor of 21142 and 21149?

Greatest common factor (GCF) of 21142 and 21149 is 1.

GCF(21142,21149) = 1

We will now calculate the prime factors of 21142 and 21149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21142 and 21149.

How to find the GCF of 21142 and 21149?

We will first find the prime factorization of 21142 and 21149. After we will calculate the factors of 21142 and 21149 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 21149

Prime factors of 21149 are 21149. Prime factorization of 21149 in exponential form is:

21149 = 21149¹

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 21149

List of positive integer factors of 21149 that divides 21142 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21142 and 21149. The biggest common factor number is the GCF number.
So the greatest common factor 21142 and 21149 is 1.

Also check out the Least Common Multiple of 21142 and 21149