What is the Greatest Common Factor of 25260 and 25272?

Greatest common factor (GCF) of 25260 and 25272 is 12.

GCF(25260,25272) = 12

We will now calculate the prime factors of 25260 and 25272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25260 and 25272.

How to find the GCF of 25260 and 25272?

We will first find the prime factorization of 25260 and 25272. After we will calculate the factors of 25260 and 25272 and find the biggest common factor number .

Step-1: Prime Factorization of 25260

Prime factors of 25260 are 2, 3, 5, 421. Prime factorization of 25260 in exponential form is:

25260 = 2² × 3¹ × 5¹ × 421¹

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 25260

List of positive integer factors of 25260 that divides 25260 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 421, 842, 1263, 1684, 2105, 2526, 4210, 5052, 6315, 8420, 12630

Step-4: Factors of 25272

List of positive integer factors of 25272 that divides 25260 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 25260 and 25272. The biggest common factor number is the GCF number.
So the greatest common factor 25260 and 25272 is 12.

Also check out the Least Common Multiple of 25260 and 25272