What is the Greatest Common Factor of 11419 and 11425?

Greatest common factor (GCF) of 11419 and 11425 is 1.

GCF(11419,11425) = 1

We will now calculate the prime factors of 11419 and 11425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11419 and 11425.

How to find the GCF of 11419 and 11425?

We will first find the prime factorization of 11419 and 11425. After we will calculate the factors of 11419 and 11425 and find the biggest common factor number .

Step-1: Prime Factorization of 11419

Prime factors of 11419 are 19, 601. Prime factorization of 11419 in exponential form is:

11419 = 19¹ × 601¹

Step-2: Prime Factorization of 11425

Prime factors of 11425 are 5, 457. Prime factorization of 11425 in exponential form is:

11425 = 5² × 457¹

Step-3: Factors of 11419

List of positive integer factors of 11419 that divides 11419 without a remainder.

1, 19, 601

Step-4: Factors of 11425

List of positive integer factors of 11425 that divides 11419 without a remainder.

1, 5, 25, 457, 2285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11419 and 11425. The biggest common factor number is the GCF number.
So the greatest common factor 11419 and 11425 is 1.

Also check out the Least Common Multiple of 11419 and 11425