What is the Greatest Common Factor of 15766 and 15784?

Greatest common factor (GCF) of 15766 and 15784 is 2.

GCF(15766,15784) = 2

We will now calculate the prime factors of 15766 and 15784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15766 and 15784.

How to find the GCF of 15766 and 15784?

We will first find the prime factorization of 15766 and 15784. After we will calculate the factors of 15766 and 15784 and find the biggest common factor number .

Step-1: Prime Factorization of 15766

Prime factors of 15766 are 2, 7883. Prime factorization of 15766 in exponential form is:

15766 = 2¹ × 7883¹

Step-2: Prime Factorization of 15784

Prime factors of 15784 are 2, 1973. Prime factorization of 15784 in exponential form is:

15784 = 2³ × 1973¹

Step-3: Factors of 15766

List of positive integer factors of 15766 that divides 15766 without a remainder.

1, 2, 7883

Step-4: Factors of 15784

List of positive integer factors of 15784 that divides 15766 without a remainder.

1, 2, 4, 8, 1973, 3946, 7892

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15766 and 15784. The biggest common factor number is the GCF number.
So the greatest common factor 15766 and 15784 is 2.

Also check out the Least Common Multiple of 15766 and 15784