What is the Greatest Common Factor of 25875 and 25890?

Greatest common factor (GCF) of 25875 and 25890 is 15.

GCF(25875,25890) = 15

We will now calculate the prime factors of 25875 and 25890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25875 and 25890.

How to find the GCF of 25875 and 25890?

We will first find the prime factorization of 25875 and 25890. After we will calculate the factors of 25875 and 25890 and find the biggest common factor number .

Step-1: Prime Factorization of 25875

Prime factors of 25875 are 3, 5, 23. Prime factorization of 25875 in exponential form is:

25875 = 3² × 5³ × 23¹

Step-2: Prime Factorization of 25890

Prime factors of 25890 are 2, 3, 5, 863. Prime factorization of 25890 in exponential form is:

25890 = 2¹ × 3¹ × 5¹ × 863¹

Step-3: Factors of 25875

List of positive integer factors of 25875 that divides 25875 without a remainder.

1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 125, 207, 225, 345, 375, 575, 1035, 1125, 1725, 2875, 5175, 8625

Step-4: Factors of 25890

List of positive integer factors of 25890 that divides 25875 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 863, 1726, 2589, 4315, 5178, 8630, 12945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25875 and 25890. The biggest common factor number is the GCF number.
So the greatest common factor 25875 and 25890 is 15.

Also check out the Least Common Multiple of 25875 and 25890