What is the Greatest Common Factor of 25780 and 25795?

Greatest common factor (GCF) of 25780 and 25795 is 5.

GCF(25780,25795) = 5

We will now calculate the prime factors of 25780 and 25795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25780 and 25795.

How to find the GCF of 25780 and 25795?

We will first find the prime factorization of 25780 and 25795. After we will calculate the factors of 25780 and 25795 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 25795

Prime factors of 25795 are 5, 7, 11, 67. Prime factorization of 25795 in exponential form is:

25795 = 5¹ × 7¹ × 11¹ × 67¹

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 25795

List of positive integer factors of 25795 that divides 25780 without a remainder.

1, 5, 7, 11, 35, 55, 67, 77, 335, 385, 469, 737, 2345, 3685, 5159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25780 and 25795. The biggest common factor number is the GCF number.
So the greatest common factor 25780 and 25795 is 5.

Also check out the Least Common Multiple of 25780 and 25795