What is the Greatest Common Factor of 25870 and 25880?

Greatest common factor (GCF) of 25870 and 25880 is 10.

GCF(25870,25880) = 10

We will now calculate the prime factors of 25870 and 25880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25870 and 25880.

How to find the GCF of 25870 and 25880?

We will first find the prime factorization of 25870 and 25880. After we will calculate the factors of 25870 and 25880 and find the biggest common factor number .

Step-1: Prime Factorization of 25870

Prime factors of 25870 are 2, 5, 13, 199. Prime factorization of 25870 in exponential form is:

25870 = 2¹ × 5¹ × 13¹ × 199¹

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 25870

List of positive integer factors of 25870 that divides 25870 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 199, 398, 995, 1990, 2587, 5174, 12935

Step-4: Factors of 25880

List of positive integer factors of 25880 that divides 25870 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 25870 and 25880. The biggest common factor number is the GCF number.
So the greatest common factor 25870 and 25880 is 10.

Also check out the Least Common Multiple of 25870 and 25880