What is the Greatest Common Factor of 25875 and 25888?

Greatest common factor (GCF) of 25875 and 25888 is 1.

GCF(25875,25888) = 1

We will now calculate the prime factors of 25875 and 25888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25875 and 25888.

How to find the GCF of 25875 and 25888?

We will first find the prime factorization of 25875 and 25888. After we will calculate the factors of 25875 and 25888 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 25888

Prime factors of 25888 are 2, 809. Prime factorization of 25888 in exponential form is:

25888 = 2⁵ × 809¹

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 25888

List of positive integer factors of 25888 that divides 25875 without a remainder.

1, 2, 4, 8, 16, 32, 809, 1618, 3236, 6472, 12944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25875 and 25888. The biggest common factor number is the GCF number.
So the greatest common factor 25875 and 25888 is 1.

Also check out the Least Common Multiple of 25875 and 25888