What is the Greatest Common Factor of 25760 and 25778?

Greatest common factor (GCF) of 25760 and 25778 is 2.

GCF(25760,25778) = 2

We will now calculate the prime factors of 25760 and 25778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25760 and 25778.

How to find the GCF of 25760 and 25778?

We will first find the prime factorization of 25760 and 25778. After we will calculate the factors of 25760 and 25778 and find the biggest common factor number .

Step-1: Prime Factorization of 25760

Prime factors of 25760 are 2, 5, 7, 23. Prime factorization of 25760 in exponential form is:

25760 = 2⁵ × 5¹ × 7¹ × 23¹

Step-2: Prime Factorization of 25778

Prime factors of 25778 are 2, 12889. Prime factorization of 25778 in exponential form is:

25778 = 2¹ × 12889¹

Step-3: Factors of 25760

List of positive integer factors of 25760 that divides 25760 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 23, 28, 32, 35, 40, 46, 56, 70, 80, 92, 112, 115, 140, 160, 161, 184, 224, 230, 280, 322, 368, 460, 560, 644, 736, 805, 920, 1120, 1288, 1610, 1840, 2576, 3220, 3680, 5152, 6440, 12880

Step-4: Factors of 25778

List of positive integer factors of 25778 that divides 25760 without a remainder.

1, 2, 12889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25760 and 25778. The biggest common factor number is the GCF number.
So the greatest common factor 25760 and 25778 is 2.

Also check out the Least Common Multiple of 25760 and 25778