What is the Greatest Common Factor of 25415 and 25428?

Greatest common factor (GCF) of 25415 and 25428 is 13.

GCF(25415,25428) = 13

We will now calculate the prime factors of 25415 and 25428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25415 and 25428.

How to find the GCF of 25415 and 25428?

We will first find the prime factorization of 25415 and 25428. After we will calculate the factors of 25415 and 25428 and find the biggest common factor number .

Step-1: Prime Factorization of 25415

Prime factors of 25415 are 5, 13, 17, 23. Prime factorization of 25415 in exponential form is:

25415 = 5¹ × 13¹ × 17¹ × 23¹

Step-2: 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-3: Factors of 25415

List of positive integer factors of 25415 that divides 25415 without a remainder.

1, 5, 13, 17, 23, 65, 85, 115, 221, 299, 391, 1105, 1495, 1955, 5083

Step-4: Factors of 25428

List of positive integer factors of 25428 that divides 25415 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25415 and 25428. The biggest common factor number is the GCF number.
So the greatest common factor 25415 and 25428 is 13.

Also check out the Least Common Multiple of 25415 and 25428