What is the Greatest Common Factor of 25428 and 25441?

Greatest common factor (GCF) of 25428 and 25441 is 13.

GCF(25428,25441) = 13

We will now calculate the prime factors of 25428 and 25441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25428 and 25441.

How to find the GCF of 25428 and 25441?

We will first find the prime factorization of 25428 and 25441. After we will calculate the factors of 25428 and 25441 and find the biggest common factor number .

Step-1: Prime Factorization of 25428

Prime factors of 25428 are 2, 3, 13, 163. Prime factorization of 25428 in exponential form is:

25428 = 2² × 3¹ × 13¹ × 163¹

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 25428

List of positive integer factors of 25428 that divides 25428 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 163, 326, 489, 652, 978, 1956, 2119, 4238, 6357, 8476, 12714

Step-4: Factors of 25441

List of positive integer factors of 25441 that divides 25428 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25428 and 25441. The biggest common factor number is the GCF number.
So the greatest common factor 25428 and 25441 is 13.

Also check out the Least Common Multiple of 25428 and 25441