What is the Greatest Common Factor of 82886 and 82904?

Greatest common factor (GCF) of 82886 and 82904 is 2.

GCF(82886,82904) = 2

We will now calculate the prime factors of 82886 and 82904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82886 and 82904.

How to find the GCF of 82886 and 82904?

We will first find the prime factorization of 82886 and 82904. After we will calculate the factors of 82886 and 82904 and find the biggest common factor number .

Step-1: Prime Factorization of 82886

Prime factors of 82886 are 2, 41443. Prime factorization of 82886 in exponential form is:

82886 = 2¹ × 41443¹

Step-2: Prime Factorization of 82904

Prime factors of 82904 are 2, 43, 241. Prime factorization of 82904 in exponential form is:

82904 = 2³ × 43¹ × 241¹

Step-3: Factors of 82886

List of positive integer factors of 82886 that divides 82886 without a remainder.

1, 2, 41443

Step-4: Factors of 82904

List of positive integer factors of 82904 that divides 82886 without a remainder.

1, 2, 4, 8, 43, 86, 172, 241, 344, 482, 964, 1928, 10363, 20726, 41452

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82886 and 82904. The biggest common factor number is the GCF number.
So the greatest common factor 82886 and 82904 is 2.

Also check out the Least Common Multiple of 82886 and 82904