What is the Greatest Common Factor of 25272 and 25285?

Greatest common factor (GCF) of 25272 and 25285 is 13.

GCF(25272,25285) = 13

We will now calculate the prime factors of 25272 and 25285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25272 and 25285.

How to find the GCF of 25272 and 25285?

We will first find the prime factorization of 25272 and 25285. After we will calculate the factors of 25272 and 25285 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25285

Prime factors of 25285 are 5, 13, 389. Prime factorization of 25285 in exponential form is:

25285 = 5¹ × 13¹ × 389¹

Step-3: Factors of 25272

List of positive integer factors of 25272 that divides 25272 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

Step-4: Factors of 25285

List of positive integer factors of 25285 that divides 25272 without a remainder.

1, 5, 13, 65, 389, 1945, 5057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25272 and 25285. The biggest common factor number is the GCF number.
So the greatest common factor 25272 and 25285 is 13.

Also check out the Least Common Multiple of 25272 and 25285