What is the Greatest Common Factor of 25680 and 25695?

Greatest common factor (GCF) of 25680 and 25695 is 15.

GCF(25680,25695) = 15

We will now calculate the prime factors of 25680 and 25695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25680 and 25695.

How to find the GCF of 25680 and 25695?

We will first find the prime factorization of 25680 and 25695. After we will calculate the factors of 25680 and 25695 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 25695

Prime factors of 25695 are 3, 5, 571. Prime factorization of 25695 in exponential form is:

25695 = 3² × 5¹ × 571¹

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 25695

List of positive integer factors of 25695 that divides 25680 without a remainder.

1, 3, 5, 9, 15, 45, 571, 1713, 2855, 5139, 8565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25680 and 25695. The biggest common factor number is the GCF number.
So the greatest common factor 25680 and 25695 is 15.

Also check out the Least Common Multiple of 25680 and 25695