What is the Greatest Common Factor of 25850 and 25864?

Greatest common factor (GCF) of 25850 and 25864 is 2.

GCF(25850,25864) = 2

We will now calculate the prime factors of 25850 and 25864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25850 and 25864.

How to find the GCF of 25850 and 25864?

We will first find the prime factorization of 25850 and 25864. After we will calculate the factors of 25850 and 25864 and find the biggest common factor number .

Step-1: Prime Factorization of 25850

Prime factors of 25850 are 2, 5, 11, 47. Prime factorization of 25850 in exponential form is:

25850 = 2¹ × 5² × 11¹ × 47¹

Step-2: Prime Factorization of 25864

Prime factors of 25864 are 2, 53, 61. Prime factorization of 25864 in exponential form is:

25864 = 2³ × 53¹ × 61¹

Step-3: Factors of 25850

List of positive integer factors of 25850 that divides 25850 without a remainder.

1, 2, 5, 10, 11, 22, 25, 47, 50, 55, 94, 110, 235, 275, 470, 517, 550, 1034, 1175, 2350, 2585, 5170, 12925

Step-4: Factors of 25864

List of positive integer factors of 25864 that divides 25850 without a remainder.

1, 2, 4, 8, 53, 61, 106, 122, 212, 244, 424, 488, 3233, 6466, 12932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25850 and 25864. The biggest common factor number is the GCF number.
So the greatest common factor 25850 and 25864 is 2.

Also check out the Least Common Multiple of 25850 and 25864