What is the Greatest Common Factor of 86854 and 86872?

Greatest common factor (GCF) of 86854 and 86872 is 2.

GCF(86854,86872) = 2

We will now calculate the prime factors of 86854 and 86872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86854 and 86872.

How to find the GCF of 86854 and 86872?

We will first find the prime factorization of 86854 and 86872. After we will calculate the factors of 86854 and 86872 and find the biggest common factor number .

Step-1: Prime Factorization of 86854

Prime factors of 86854 are 2, 43427. Prime factorization of 86854 in exponential form is:

86854 = 2¹ × 43427¹

Step-2: Prime Factorization of 86872

Prime factors of 86872 are 2, 10859. Prime factorization of 86872 in exponential form is:

86872 = 2³ × 10859¹

Step-3: Factors of 86854

List of positive integer factors of 86854 that divides 86854 without a remainder.

1, 2, 43427

Step-4: Factors of 86872

List of positive integer factors of 86872 that divides 86854 without a remainder.

1, 2, 4, 8, 10859, 21718, 43436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86854 and 86872. The biggest common factor number is the GCF number.
So the greatest common factor 86854 and 86872 is 2.

Also check out the Least Common Multiple of 86854 and 86872