What is the Greatest Common Factor of 25680 and 25689?

Greatest common factor (GCF) of 25680 and 25689 is 3.

GCF(25680,25689) = 3

We will now calculate the prime factors of 25680 and 25689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25680 and 25689.

How to find the GCF of 25680 and 25689?

We will first find the prime factorization of 25680 and 25689. After we will calculate the factors of 25680 and 25689 and find the biggest common factor number .

Step-1: Prime Factorization of 25680

Prime factors of 25680 are 2, 3, 5, 107. Prime factorization of 25680 in exponential form is:

25680 = 2⁴ × 3¹ × 5¹ × 107¹

Step-2: Prime Factorization of 25689

Prime factors of 25689 are 3, 8563. Prime factorization of 25689 in exponential form is:

25689 = 3¹ × 8563¹

Step-3: Factors of 25680

List of positive integer factors of 25680 that divides 25680 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 107, 120, 214, 240, 321, 428, 535, 642, 856, 1070, 1284, 1605, 1712, 2140, 2568, 3210, 4280, 5136, 6420, 8560, 12840

Step-4: Factors of 25689

List of positive integer factors of 25689 that divides 25680 without a remainder.

1, 3, 8563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25680 and 25689. The biggest common factor number is the GCF number.
So the greatest common factor 25680 and 25689 is 3.

Also check out the Least Common Multiple of 25680 and 25689