What is the Greatest Common Factor of 19121 and 19138?

Greatest common factor (GCF) of 19121 and 19138 is 1.

GCF(19121,19138) = 1

We will now calculate the prime factors of 19121 and 19138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19121 and 19138.

How to find the GCF of 19121 and 19138?

We will first find the prime factorization of 19121 and 19138. After we will calculate the factors of 19121 and 19138 and find the biggest common factor number .

Step-1: Prime Factorization of 19121

Prime factors of 19121 are 19121. Prime factorization of 19121 in exponential form is:

19121 = 19121¹

Step-2: Prime Factorization of 19138

Prime factors of 19138 are 2, 7, 1367. Prime factorization of 19138 in exponential form is:

19138 = 2¹ × 7¹ × 1367¹

Step-3: Factors of 19121

List of positive integer factors of 19121 that divides 19121 without a remainder.

Step-4: Factors of 19138

List of positive integer factors of 19138 that divides 19121 without a remainder.

1, 2, 7, 14, 1367, 2734, 9569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19121 and 19138. The biggest common factor number is the GCF number.
So the greatest common factor 19121 and 19138 is 1.

Also check out the Least Common Multiple of 19121 and 19138