What is the Greatest Common Factor of 21142 and 21157?

Greatest common factor (GCF) of 21142 and 21157 is 1.

GCF(21142,21157) = 1

We will now calculate the prime factors of 21142 and 21157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21142 and 21157.

How to find the GCF of 21142 and 21157?

We will first find the prime factorization of 21142 and 21157. After we will calculate the factors of 21142 and 21157 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 21157

Prime factors of 21157 are 21157. Prime factorization of 21157 in exponential form is:

21157 = 21157¹

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 21157

List of positive integer factors of 21157 that divides 21142 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21142 and 21157. The biggest common factor number is the GCF number.
So the greatest common factor 21142 and 21157 is 1.

Also check out the Least Common Multiple of 21142 and 21157