What is the Greatest Common Factor of 25780 and 25792?

Greatest common factor (GCF) of 25780 and 25792 is 4.

GCF(25780,25792) = 4

We will now calculate the prime factors of 25780 and 25792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25780 and 25792.

How to find the GCF of 25780 and 25792?

We will first find the prime factorization of 25780 and 25792. After we will calculate the factors of 25780 and 25792 and find the biggest common factor number .

Step-1: Prime Factorization of 25780

Prime factors of 25780 are 2, 5, 1289. Prime factorization of 25780 in exponential form is:

25780 = 2² × 5¹ × 1289¹

Step-2: Prime Factorization of 25792

Prime factors of 25792 are 2, 13, 31. Prime factorization of 25792 in exponential form is:

25792 = 2⁶ × 13¹ × 31¹

Step-3: Factors of 25780

List of positive integer factors of 25780 that divides 25780 without a remainder.

1, 2, 4, 5, 10, 20, 1289, 2578, 5156, 6445, 12890

Step-4: Factors of 25792

List of positive integer factors of 25792 that divides 25780 without a remainder.

1, 2, 4, 8, 13, 16, 26, 31, 32, 52, 62, 64, 104, 124, 208, 248, 403, 416, 496, 806, 832, 992, 1612, 1984, 3224, 6448, 12896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25780 and 25792. The biggest common factor number is the GCF number.
So the greatest common factor 25780 and 25792 is 4.

Also check out the Least Common Multiple of 25780 and 25792