What is the Greatest Common Factor of 25431 and 25437?

Greatest common factor (GCF) of 25431 and 25437 is 3.

GCF(25431,25437) = 3

We will now calculate the prime factors of 25431 and 25437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25431 and 25437.

How to find the GCF of 25431 and 25437?

We will first find the prime factorization of 25431 and 25437. After we will calculate the factors of 25431 and 25437 and find the biggest common factor number .

Step-1: Prime Factorization of 25431

Prime factors of 25431 are 3, 7, 173. Prime factorization of 25431 in exponential form is:

25431 = 3¹ × 7² × 173¹

Step-2: 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-3: Factors of 25431

List of positive integer factors of 25431 that divides 25431 without a remainder.

1, 3, 7, 21, 49, 147, 173, 519, 1211, 3633, 8477

Step-4: Factors of 25437

List of positive integer factors of 25437 that divides 25431 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25431 and 25437. The biggest common factor number is the GCF number.
So the greatest common factor 25431 and 25437 is 3.

Also check out the Least Common Multiple of 25431 and 25437