What is the Greatest Common Factor of 84872 and 84886?

Greatest common factor (GCF) of 84872 and 84886 is 2.

GCF(84872,84886) = 2

We will now calculate the prime factors of 84872 and 84886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84872 and 84886.

How to find the GCF of 84872 and 84886?

We will first find the prime factorization of 84872 and 84886. After we will calculate the factors of 84872 and 84886 and find the biggest common factor number .

Step-1: Prime Factorization of 84872

Prime factors of 84872 are 2, 103. Prime factorization of 84872 in exponential form is:

84872 = 2³ × 103²

Step-2: Prime Factorization of 84886

Prime factors of 84886 are 2, 42443. Prime factorization of 84886 in exponential form is:

84886 = 2¹ × 42443¹

Step-3: Factors of 84872

List of positive integer factors of 84872 that divides 84872 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824, 10609, 21218, 42436

Step-4: Factors of 84886

List of positive integer factors of 84886 that divides 84872 without a remainder.

1, 2, 42443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84872 and 84886. The biggest common factor number is the GCF number.
So the greatest common factor 84872 and 84886 is 2.

Also check out the Least Common Multiple of 84872 and 84886