What is the Greatest Common Factor of 25431 and 25438?

Greatest common factor (GCF) of 25431 and 25438 is 7.

GCF(25431,25438) = 7

We will now calculate the prime factors of 25431 and 25438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25431 and 25438.

How to find the GCF of 25431 and 25438?

We will first find the prime factorization of 25431 and 25438. After we will calculate the factors of 25431 and 25438 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 25438

Prime factors of 25438 are 2, 7, 23, 79. Prime factorization of 25438 in exponential form is:

25438 = 2¹ × 7¹ × 23¹ × 79¹

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 25438

List of positive integer factors of 25438 that divides 25431 without a remainder.

1, 2, 7, 14, 23, 46, 79, 158, 161, 322, 553, 1106, 1817, 3634, 12719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25431 and 25438. The biggest common factor number is the GCF number.
So the greatest common factor 25431 and 25438 is 7.

Also check out the Least Common Multiple of 25431 and 25438