What is the Greatest Common Factor of 21119 and 21138?

Greatest common factor (GCF) of 21119 and 21138 is 1.

GCF(21119,21138) = 1

We will now calculate the prime factors of 21119 and 21138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21119 and 21138.

How to find the GCF of 21119 and 21138?

We will first find the prime factorization of 21119 and 21138. After we will calculate the factors of 21119 and 21138 and find the biggest common factor number .

Step-1: Prime Factorization of 21119

Prime factors of 21119 are 7, 431. Prime factorization of 21119 in exponential form is:

21119 = 7² × 431¹

Step-2: Prime Factorization of 21138

Prime factors of 21138 are 2, 3, 13, 271. Prime factorization of 21138 in exponential form is:

21138 = 2¹ × 3¹ × 13¹ × 271¹

Step-3: Factors of 21119

List of positive integer factors of 21119 that divides 21119 without a remainder.

1, 7, 49, 431, 3017

Step-4: Factors of 21138

List of positive integer factors of 21138 that divides 21119 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 271, 542, 813, 1626, 3523, 7046, 10569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21119 and 21138. The biggest common factor number is the GCF number.
So the greatest common factor 21119 and 21138 is 1.

Also check out the Least Common Multiple of 21119 and 21138