What is the Greatest Common Factor of 84854 and 84872?

Greatest common factor (GCF) of 84854 and 84872 is 2.

GCF(84854,84872) = 2

We will now calculate the prime factors of 84854 and 84872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84854 and 84872.

How to find the GCF of 84854 and 84872?

We will first find the prime factorization of 84854 and 84872. After we will calculate the factors of 84854 and 84872 and find the biggest common factor number .

Step-1: Prime Factorization of 84854

Prime factors of 84854 are 2, 7, 11, 19, 29. Prime factorization of 84854 in exponential form is:

84854 = 2¹ × 7¹ × 11¹ × 19¹ × 29¹

Step-2: Prime Factorization of 84872

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

84872 = 2³ × 103²

Step-3: Factors of 84854

List of positive integer factors of 84854 that divides 84854 without a remainder.

1, 2, 7, 11, 14, 19, 22, 29, 38, 58, 77, 133, 154, 203, 209, 266, 319, 406, 418, 551, 638, 1102, 1463, 2233, 2926, 3857, 4466, 6061, 7714, 12122, 42427

Step-4: Factors of 84872

List of positive integer factors of 84872 that divides 84854 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84854 and 84872. The biggest common factor number is the GCF number.
So the greatest common factor 84854 and 84872 is 2.

Also check out the Least Common Multiple of 84854 and 84872