What is the Greatest Common Factor of 86416 and 86422?

Greatest common factor (GCF) of 86416 and 86422 is 2.

GCF(86416,86422) = 2

We will now calculate the prime factors of 86416 and 86422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86416 and 86422.

How to find the GCF of 86416 and 86422?

We will first find the prime factorization of 86416 and 86422. After we will calculate the factors of 86416 and 86422 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86422

Prime factors of 86422 are 2, 7, 6173. Prime factorization of 86422 in exponential form is:

86422 = 2¹ × 7¹ × 6173¹

Step-3: Factors of 86416

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

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

Step-4: Factors of 86422

List of positive integer factors of 86422 that divides 86416 without a remainder.

1, 2, 7, 14, 6173, 12346, 43211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86416 and 86422. The biggest common factor number is the GCF number.
So the greatest common factor 86416 and 86422 is 2.

Also check out the Least Common Multiple of 86416 and 86422