What is the Greatest Common Factor of 86876 and 86896?

Greatest common factor (GCF) of 86876 and 86896 is 4.

GCF(86876,86896) = 4

We will now calculate the prime factors of 86876 and 86896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86876 and 86896.

How to find the GCF of 86876 and 86896?

We will first find the prime factorization of 86876 and 86896. After we will calculate the factors of 86876 and 86896 and find the biggest common factor number .

Step-1: Prime Factorization of 86876

Prime factors of 86876 are 2, 37, 587. Prime factorization of 86876 in exponential form is:

86876 = 2² × 37¹ × 587¹

Step-2: Prime Factorization of 86896

Prime factors of 86896 are 2, 5431. Prime factorization of 86896 in exponential form is:

86896 = 2⁴ × 5431¹

Step-3: Factors of 86876

List of positive integer factors of 86876 that divides 86876 without a remainder.

1, 2, 4, 37, 74, 148, 587, 1174, 2348, 21719, 43438

Step-4: Factors of 86896

List of positive integer factors of 86896 that divides 86876 without a remainder.

1, 2, 4, 8, 16, 5431, 10862, 21724, 43448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86876 and 86896. The biggest common factor number is the GCF number.
So the greatest common factor 86876 and 86896 is 4.

Also check out the Least Common Multiple of 86876 and 86896