What is the Greatest Common Factor of 82802 and 82816?

Greatest common factor (GCF) of 82802 and 82816 is 2.

GCF(82802,82816) = 2

We will now calculate the prime factors of 82802 and 82816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82802 and 82816.

How to find the GCF of 82802 and 82816?

We will first find the prime factorization of 82802 and 82816. After we will calculate the factors of 82802 and 82816 and find the biggest common factor number .

Step-1: Prime Factorization of 82802

Prime factors of 82802 are 2, 19, 2179. Prime factorization of 82802 in exponential form is:

82802 = 2¹ × 19¹ × 2179¹

Step-2: Prime Factorization of 82816

Prime factors of 82816 are 2, 647. Prime factorization of 82816 in exponential form is:

82816 = 2⁷ × 647¹

Step-3: Factors of 82802

List of positive integer factors of 82802 that divides 82802 without a remainder.

1, 2, 19, 38, 2179, 4358, 41401

Step-4: Factors of 82816

List of positive integer factors of 82816 that divides 82802 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 647, 1294, 2588, 5176, 10352, 20704, 41408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82802 and 82816. The biggest common factor number is the GCF number.
So the greatest common factor 82802 and 82816 is 2.

Also check out the Least Common Multiple of 82802 and 82816