What is the Greatest Common Factor of 25419 and 25427?

Greatest common factor (GCF) of 25419 and 25427 is 1.

GCF(25419,25427) = 1

We will now calculate the prime factors of 25419 and 25427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25419 and 25427.

How to find the GCF of 25419 and 25427?

We will first find the prime factorization of 25419 and 25427. After we will calculate the factors of 25419 and 25427 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 25427

Prime factors of 25427 are 47, 541. Prime factorization of 25427 in exponential form is:

25427 = 47¹ × 541¹

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 25427

List of positive integer factors of 25427 that divides 25419 without a remainder.

1, 47, 541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25419 and 25427. The biggest common factor number is the GCF number.
So the greatest common factor 25419 and 25427 is 1.

Also check out the Least Common Multiple of 25419 and 25427