What is the Greatest Common Factor of 86398 and 86416?

Greatest common factor (GCF) of 86398 and 86416 is 2.

GCF(86398,86416) = 2

We will now calculate the prime factors of 86398 and 86416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86398 and 86416.

How to find the GCF of 86398 and 86416?

We will first find the prime factorization of 86398 and 86416. After we will calculate the factors of 86398 and 86416 and find the biggest common factor number .

Step-1: Prime Factorization of 86398

Prime factors of 86398 are 2, 13, 3323. Prime factorization of 86398 in exponential form is:

86398 = 2¹ × 13¹ × 3323¹

Step-2: Prime Factorization of 86416

Prime factors of 86416 are 2, 11, 491. Prime factorization of 86416 in exponential form is:

86416 = 2⁴ × 11¹ × 491¹

Step-3: Factors of 86398

List of positive integer factors of 86398 that divides 86398 without a remainder.

1, 2, 13, 26, 3323, 6646, 43199

Step-4: Factors of 86416

List of positive integer factors of 86416 that divides 86398 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 491, 982, 1964, 3928, 5401, 7856, 10802, 21604, 43208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86398 and 86416. The biggest common factor number is the GCF number.
So the greatest common factor 86398 and 86416 is 2.

Also check out the Least Common Multiple of 86398 and 86416