What is the Greatest Common Factor of 25419 and 25426?

Greatest common factor (GCF) of 25419 and 25426 is 1.

GCF(25419,25426) = 1

We will now calculate the prime factors of 25419 and 25426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25419 and 25426.

How to find the GCF of 25419 and 25426?

We will first find the prime factorization of 25419 and 25426. After we will calculate the factors of 25419 and 25426 and find the biggest common factor number .

Step-1: Prime Factorization of 25419

Prime factors of 25419 are 3, 37, 229. Prime factorization of 25419 in exponential form is:

25419 = 3¹ × 37¹ × 229¹

Step-2: Prime Factorization of 25426

Prime factors of 25426 are 2, 12713. Prime factorization of 25426 in exponential form is:

25426 = 2¹ × 12713¹

Step-3: Factors of 25419

List of positive integer factors of 25419 that divides 25419 without a remainder.

1, 3, 37, 111, 229, 687, 8473

Step-4: Factors of 25426

List of positive integer factors of 25426 that divides 25419 without a remainder.

1, 2, 12713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25419 and 25426. The biggest common factor number is the GCF number.
So the greatest common factor 25419 and 25426 is 1.

Also check out the Least Common Multiple of 25419 and 25426