What is the Greatest Common Factor of 25259 and 25272?

Greatest common factor (GCF) of 25259 and 25272 is 13.

GCF(25259,25272) = 13

We will now calculate the prime factors of 25259 and 25272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25259 and 25272.

How to find the GCF of 25259 and 25272?

We will first find the prime factorization of 25259 and 25272. After we will calculate the factors of 25259 and 25272 and find the biggest common factor number .

Step-1: Prime Factorization of 25259

Prime factors of 25259 are 13, 29, 67. Prime factorization of 25259 in exponential form is:

25259 = 13¹ × 29¹ × 67¹

Step-2: Prime Factorization of 25272

Prime factors of 25272 are 2, 3, 13. Prime factorization of 25272 in exponential form is:

25272 = 2³ × 3⁵ × 13¹

Step-3: Factors of 25259

List of positive integer factors of 25259 that divides 25259 without a remainder.

1, 13, 29, 67, 377, 871, 1943

Step-4: Factors of 25272

List of positive integer factors of 25272 that divides 25259 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 81, 104, 108, 117, 156, 162, 216, 234, 243, 312, 324, 351, 468, 486, 648, 702, 936, 972, 1053, 1404, 1944, 2106, 2808, 3159, 4212, 6318, 8424, 12636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25259 and 25272. The biggest common factor number is the GCF number.
So the greatest common factor 25259 and 25272 is 13.

Also check out the Least Common Multiple of 25259 and 25272