What is the Greatest Common Factor of 25848 and 25860?

Greatest common factor (GCF) of 25848 and 25860 is 12.

GCF(25848,25860) = 12

We will now calculate the prime factors of 25848 and 25860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25848 and 25860.

How to find the GCF of 25848 and 25860?

We will first find the prime factorization of 25848 and 25860. After we will calculate the factors of 25848 and 25860 and find the biggest common factor number .

Step-1: Prime Factorization of 25848

Prime factors of 25848 are 2, 3, 359. Prime factorization of 25848 in exponential form is:

25848 = 2³ × 3² × 359¹

Step-2: Prime Factorization of 25860

Prime factors of 25860 are 2, 3, 5, 431. Prime factorization of 25860 in exponential form is:

25860 = 2² × 3¹ × 5¹ × 431¹

Step-3: Factors of 25848

List of positive integer factors of 25848 that divides 25848 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 359, 718, 1077, 1436, 2154, 2872, 3231, 4308, 6462, 8616, 12924

Step-4: Factors of 25860

List of positive integer factors of 25860 that divides 25848 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 431, 862, 1293, 1724, 2155, 2586, 4310, 5172, 6465, 8620, 12930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25848 and 25860. The biggest common factor number is the GCF number.
So the greatest common factor 25848 and 25860 is 12.

Also check out the Least Common Multiple of 25848 and 25860