What is the Greatest Common Factor of 25874 and 25880?

Greatest common factor (GCF) of 25874 and 25880 is 2.

GCF(25874,25880) = 2

We will now calculate the prime factors of 25874 and 25880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25874 and 25880.

How to find the GCF of 25874 and 25880?

We will first find the prime factorization of 25874 and 25880. After we will calculate the factors of 25874 and 25880 and find the biggest common factor number .

Step-1: Prime Factorization of 25874

Prime factors of 25874 are 2, 17, 761. Prime factorization of 25874 in exponential form is:

25874 = 2¹ × 17¹ × 761¹

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 25874

List of positive integer factors of 25874 that divides 25874 without a remainder.

1, 2, 17, 34, 761, 1522, 12937

Step-4: Factors of 25880

List of positive integer factors of 25880 that divides 25874 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 25874 and 25880. The biggest common factor number is the GCF number.
So the greatest common factor 25874 and 25880 is 2.

Also check out the Least Common Multiple of 25874 and 25880