What is the Greatest Common Factor of 21131 and 21149?

Greatest common factor (GCF) of 21131 and 21149 is 1.

GCF(21131,21149) = 1

We will now calculate the prime factors of 21131 and 21149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21131 and 21149.

How to find the GCF of 21131 and 21149?

We will first find the prime factorization of 21131 and 21149. After we will calculate the factors of 21131 and 21149 and find the biggest common factor number .

Step-1: Prime Factorization of 21131

Prime factors of 21131 are 11, 17, 113. Prime factorization of 21131 in exponential form is:

21131 = 11¹ × 17¹ × 113¹

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 21131

List of positive integer factors of 21131 that divides 21131 without a remainder.

1, 11, 17, 113, 187, 1243, 1921

Step-4: Factors of 21149

List of positive integer factors of 21149 that divides 21131 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21131 and 21149. The biggest common factor number is the GCF number.
So the greatest common factor 21131 and 21149 is 1.

Also check out the Least Common Multiple of 21131 and 21149