What is the Greatest Common Factor of 15680 and 15695?

Greatest common factor (GCF) of 15680 and 15695 is 5.

GCF(15680,15695) = 5

We will now calculate the prime factors of 15680 and 15695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15680 and 15695.

How to find the GCF of 15680 and 15695?

We will first find the prime factorization of 15680 and 15695. After we will calculate the factors of 15680 and 15695 and find the biggest common factor number .

Step-1: Prime Factorization of 15680

Prime factors of 15680 are 2, 5, 7. Prime factorization of 15680 in exponential form is:

15680 = 2⁶ × 5¹ × 7²

Step-2: Prime Factorization of 15695

Prime factors of 15695 are 5, 43, 73. Prime factorization of 15695 in exponential form is:

15695 = 5¹ × 43¹ × 73¹

Step-3: Factors of 15680

List of positive integer factors of 15680 that divides 15680 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 49, 56, 64, 70, 80, 98, 112, 140, 160, 196, 224, 245, 280, 320, 392, 448, 490, 560, 784, 980, 1120, 1568, 1960, 2240, 3136, 3920, 7840

Step-4: Factors of 15695

List of positive integer factors of 15695 that divides 15680 without a remainder.

1, 5, 43, 73, 215, 365, 3139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15680 and 15695. The biggest common factor number is the GCF number.
So the greatest common factor 15680 and 15695 is 5.

Also check out the Least Common Multiple of 15680 and 15695