What is the Greatest Common Factor of 25434 and 25443?

Greatest common factor (GCF) of 25434 and 25443 is 9.

GCF(25434,25443) = 9

We will now calculate the prime factors of 25434 and 25443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25434 and 25443.

How to find the GCF of 25434 and 25443?

We will first find the prime factorization of 25434 and 25443. After we will calculate the factors of 25434 and 25443 and find the biggest common factor number .

Step-1: Prime Factorization of 25434

Prime factors of 25434 are 2, 3, 157. Prime factorization of 25434 in exponential form is:

25434 = 2¹ × 3⁴ × 157¹

Step-2: Prime Factorization of 25443

Prime factors of 25443 are 3, 11, 257. Prime factorization of 25443 in exponential form is:

25443 = 3² × 11¹ × 257¹

Step-3: Factors of 25434

List of positive integer factors of 25434 that divides 25434 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 157, 162, 314, 471, 942, 1413, 2826, 4239, 8478, 12717

Step-4: Factors of 25443

List of positive integer factors of 25443 that divides 25434 without a remainder.

1, 3, 9, 11, 33, 99, 257, 771, 2313, 2827, 8481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25434 and 25443. The biggest common factor number is the GCF number.
So the greatest common factor 25434 and 25443 is 9.

Also check out the Least Common Multiple of 25434 and 25443