What is the Greatest Common Factor of 25631 and 25650?

Greatest common factor (GCF) of 25631 and 25650 is 19.

GCF(25631,25650) = 19

We will now calculate the prime factors of 25631 and 25650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25631 and 25650.

How to find the GCF of 25631 and 25650?

We will first find the prime factorization of 25631 and 25650. After we will calculate the factors of 25631 and 25650 and find the biggest common factor number .

Step-1: Prime Factorization of 25631

Prime factors of 25631 are 19, 71. Prime factorization of 25631 in exponential form is:

25631 = 19² × 71¹

Step-2: Prime Factorization of 25650

Prime factors of 25650 are 2, 3, 5, 19. Prime factorization of 25650 in exponential form is:

25650 = 2¹ × 3³ × 5² × 19¹

Step-3: Factors of 25631

List of positive integer factors of 25631 that divides 25631 without a remainder.

1, 19, 71, 361, 1349

Step-4: Factors of 25650

List of positive integer factors of 25650 that divides 25631 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 25, 27, 30, 38, 45, 50, 54, 57, 75, 90, 95, 114, 135, 150, 171, 190, 225, 270, 285, 342, 450, 475, 513, 570, 675, 855, 950, 1026, 1350, 1425, 1710, 2565, 2850, 4275, 5130, 8550, 12825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25631 and 25650. The biggest common factor number is the GCF number.
So the greatest common factor 25631 and 25650 is 19.

Also check out the Least Common Multiple of 25631 and 25650