What is the Greatest Common Factor of 15776 and 15782?

Greatest common factor (GCF) of 15776 and 15782 is 2.

GCF(15776,15782) = 2

We will now calculate the prime factors of 15776 and 15782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15776 and 15782.

How to find the GCF of 15776 and 15782?

We will first find the prime factorization of 15776 and 15782. After we will calculate the factors of 15776 and 15782 and find the biggest common factor number .

Step-1: Prime Factorization of 15776

Prime factors of 15776 are 2, 17, 29. Prime factorization of 15776 in exponential form is:

15776 = 2⁵ × 17¹ × 29¹

Step-2: Prime Factorization of 15782

Prime factors of 15782 are 2, 13, 607. Prime factorization of 15782 in exponential form is:

15782 = 2¹ × 13¹ × 607¹

Step-3: Factors of 15776

List of positive integer factors of 15776 that divides 15776 without a remainder.

1, 2, 4, 8, 16, 17, 29, 32, 34, 58, 68, 116, 136, 232, 272, 464, 493, 544, 928, 986, 1972, 3944, 7888

Step-4: Factors of 15782

List of positive integer factors of 15782 that divides 15776 without a remainder.

1, 2, 13, 26, 607, 1214, 7891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15776 and 15782. The biggest common factor number is the GCF number.
So the greatest common factor 15776 and 15782 is 2.

Also check out the Least Common Multiple of 15776 and 15782