What is the Greatest Common Factor of 86405 and 86416?

Greatest common factor (GCF) of 86405 and 86416 is 11.

GCF(86405,86416) = 11

We will now calculate the prime factors of 86405 and 86416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86405 and 86416.

How to find the GCF of 86405 and 86416?

We will first find the prime factorization of 86405 and 86416. After we will calculate the factors of 86405 and 86416 and find the biggest common factor number .

Step-1: Prime Factorization of 86405

Prime factors of 86405 are 5, 11, 1571. Prime factorization of 86405 in exponential form is:

86405 = 5¹ × 11¹ × 1571¹

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 86405

List of positive integer factors of 86405 that divides 86405 without a remainder.

1, 5, 11, 55, 1571, 7855, 17281

Step-4: Factors of 86416

List of positive integer factors of 86416 that divides 86405 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 86405 and 86416. The biggest common factor number is the GCF number.
So the greatest common factor 86405 and 86416 is 11.

Also check out the Least Common Multiple of 86405 and 86416