What is the Greatest Common Factor of 25880 and 25888?

Greatest common factor (GCF) of 25880 and 25888 is 8.

GCF(25880,25888) = 8

We will now calculate the prime factors of 25880 and 25888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25880 and 25888.

How to find the GCF of 25880 and 25888?

We will first find the prime factorization of 25880 and 25888. After we will calculate the factors of 25880 and 25888 and find the biggest common factor number .

Step-1: 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-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 25880

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

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

Step-4: Factors of 25888

List of positive integer factors of 25888 that divides 25880 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 25880 and 25888. The biggest common factor number is the GCF number.
So the greatest common factor 25880 and 25888 is 8.

Also check out the Least Common Multiple of 25880 and 25888