What is the Greatest Common Factor of 25875 and 25880?

Greatest common factor (GCF) of 25875 and 25880 is 5.

GCF(25875,25880) = 5

We will now calculate the prime factors of 25875 and 25880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25875 and 25880.

How to find the GCF of 25875 and 25880?

We will first find the prime factorization of 25875 and 25880. After we will calculate the factors of 25875 and 25880 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 25880

Prime factors of 25880 are 2, 5, 647. Prime factorization of 25880 in exponential form is:

25880 = 2³ × 5¹ × 647¹

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 25880

List of positive integer factors of 25880 that divides 25875 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 647, 1294, 2588, 3235, 5176, 6470, 12940

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25875 and 25880. The biggest common factor number is the GCF number.
So the greatest common factor 25875 and 25880 is 5.

Also check out the Least Common Multiple of 25875 and 25880