What is the Greatest Common Factor of 25680 and 25691?

Greatest common factor (GCF) of 25680 and 25691 is 1.

GCF(25680,25691) = 1

We will now calculate the prime factors of 25680 and 25691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25680 and 25691.

How to find the GCF of 25680 and 25691?

We will first find the prime factorization of 25680 and 25691. After we will calculate the factors of 25680 and 25691 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 25691

Prime factors of 25691 are 23, 1117. Prime factorization of 25691 in exponential form is:

25691 = 23¹ × 1117¹

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 25691

List of positive integer factors of 25691 that divides 25680 without a remainder.

1, 23, 1117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25680 and 25691. The biggest common factor number is the GCF number.
So the greatest common factor 25680 and 25691 is 1.

Also check out the Least Common Multiple of 25680 and 25691