What is the Greatest Common Factor of 25437 and 25455?

Greatest common factor (GCF) of 25437 and 25455 is 3.

GCF(25437,25455) = 3

We will now calculate the prime factors of 25437 and 25455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25437 and 25455.

How to find the GCF of 25437 and 25455?

We will first find the prime factorization of 25437 and 25455. After we will calculate the factors of 25437 and 25455 and find the biggest common factor number .

Step-1: Prime Factorization of 25437

Prime factors of 25437 are 3, 61, 139. Prime factorization of 25437 in exponential form is:

25437 = 3¹ × 61¹ × 139¹

Step-2: Prime Factorization of 25455

Prime factors of 25455 are 3, 5, 1697. Prime factorization of 25455 in exponential form is:

25455 = 3¹ × 5¹ × 1697¹

Step-3: Factors of 25437

List of positive integer factors of 25437 that divides 25437 without a remainder.

1, 3, 61, 139, 183, 417, 8479

Step-4: Factors of 25455

List of positive integer factors of 25455 that divides 25437 without a remainder.

1, 3, 5, 15, 1697, 5091, 8485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25437 and 25455. The biggest common factor number is the GCF number.
So the greatest common factor 25437 and 25455 is 3.

Also check out the Least Common Multiple of 25437 and 25455