What is the Greatest Common Factor of 25434 and 25441?

Greatest common factor (GCF) of 25434 and 25441 is 1.

GCF(25434,25441) = 1

We will now calculate the prime factors of 25434 and 25441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25434 and 25441.

How to find the GCF of 25434 and 25441?

We will first find the prime factorization of 25434 and 25441. After we will calculate the factors of 25434 and 25441 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 25441

Prime factors of 25441 are 13, 19, 103. Prime factorization of 25441 in exponential form is:

25441 = 13¹ × 19¹ × 103¹

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 25441

List of positive integer factors of 25441 that divides 25434 without a remainder.

1, 13, 19, 103, 247, 1339, 1957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25434 and 25441. The biggest common factor number is the GCF number.
So the greatest common factor 25434 and 25441 is 1.

Also check out the Least Common Multiple of 25434 and 25441