What is the Greatest Common Factor of 25284 and 25298?

Greatest common factor (GCF) of 25284 and 25298 is 14.

GCF(25284,25298) = 14

We will now calculate the prime factors of 25284 and 25298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25284 and 25298.

How to find the GCF of 25284 and 25298?

We will first find the prime factorization of 25284 and 25298. After we will calculate the factors of 25284 and 25298 and find the biggest common factor number .

Step-1: Prime Factorization of 25284

Prime factors of 25284 are 2, 3, 7, 43. Prime factorization of 25284 in exponential form is:

25284 = 2² × 3¹ × 7² × 43¹

Step-2: Prime Factorization of 25298

Prime factors of 25298 are 2, 7, 13, 139. Prime factorization of 25298 in exponential form is:

25298 = 2¹ × 7¹ × 13¹ × 139¹

Step-3: Factors of 25284

List of positive integer factors of 25284 that divides 25284 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 49, 84, 86, 98, 129, 147, 172, 196, 258, 294, 301, 516, 588, 602, 903, 1204, 1806, 2107, 3612, 4214, 6321, 8428, 12642

Step-4: Factors of 25298

List of positive integer factors of 25298 that divides 25284 without a remainder.

1, 2, 7, 13, 14, 26, 91, 139, 182, 278, 973, 1807, 1946, 3614, 12649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25284 and 25298. The biggest common factor number is the GCF number.
So the greatest common factor 25284 and 25298 is 14.

Also check out the Least Common Multiple of 25284 and 25298