What is the Greatest Common Factor of 419 and 425?

Greatest common factor (GCF) of 419 and 425 is 1.

GCF(419,425) = 1

We will now calculate the prime factors of 419 and 425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 419 and 425.

How to find the GCF of 419 and 425?

We will first find the prime factorization of 419 and 425. After we will calculate the factors of 419 and 425 and find the biggest common factor number .

Step-1: Prime Factorization of 419

Prime factors of 419 are 419. Prime factorization of 419 in exponential form is:

419 = 419¹

Step-2: Prime Factorization of 425

Prime factors of 425 are 5, 17. Prime factorization of 425 in exponential form is:

425 = 5² × 17¹

Step-3: Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

Step-4: Factors of 425

List of positive integer factors of 425 that divides 419 without a remainder.

1, 5, 17, 25, 85

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 419 and 425. The biggest common factor number is the GCF number.
So the greatest common factor 419 and 425 is 1.

Also check out the Least Common Multiple of 419 and 425