What is the Greatest Common Factor of 15680 and 15694?

Greatest common factor (GCF) of 15680 and 15694 is 14.

GCF(15680,15694) = 14

We will now calculate the prime factors of 15680 and 15694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15680 and 15694.

How to find the GCF of 15680 and 15694?

We will first find the prime factorization of 15680 and 15694. After we will calculate the factors of 15680 and 15694 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 15694

Prime factors of 15694 are 2, 7, 19, 59. Prime factorization of 15694 in exponential form is:

15694 = 2¹ × 7¹ × 19¹ × 59¹

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 15694

List of positive integer factors of 15694 that divides 15680 without a remainder.

1, 2, 7, 14, 19, 38, 59, 118, 133, 266, 413, 826, 1121, 2242, 7847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15680 and 15694. The biggest common factor number is the GCF number.
So the greatest common factor 15680 and 15694 is 14.

Also check out the Least Common Multiple of 15680 and 15694