What is the Greatest Common Factor of 96416 and 96422?

Greatest common factor (GCF) of 96416 and 96422 is 2.

GCF(96416,96422) = 2

We will now calculate the prime factors of 96416 and 96422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96416 and 96422.

How to find the GCF of 96416 and 96422?

We will first find the prime factorization of 96416 and 96422. After we will calculate the factors of 96416 and 96422 and find the biggest common factor number .

Step-1: Prime Factorization of 96416

Prime factors of 96416 are 2, 23, 131. Prime factorization of 96416 in exponential form is:

96416 = 2⁵ × 23¹ × 131¹

Step-2: Prime Factorization of 96422

Prime factors of 96422 are 2, 37, 1303. Prime factorization of 96422 in exponential form is:

96422 = 2¹ × 37¹ × 1303¹

Step-3: Factors of 96416

List of positive integer factors of 96416 that divides 96416 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 131, 184, 262, 368, 524, 736, 1048, 2096, 3013, 4192, 6026, 12052, 24104, 48208

Step-4: Factors of 96422

List of positive integer factors of 96422 that divides 96416 without a remainder.

1, 2, 37, 74, 1303, 2606, 48211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96416 and 96422. The biggest common factor number is the GCF number.
So the greatest common factor 96416 and 96422 is 2.

Also check out the Least Common Multiple of 96416 and 96422