What is the Greatest Common Factor of 96416 and 96426?

Greatest common factor (GCF) of 96416 and 96426 is 2.

GCF(96416,96426) = 2

We will now calculate the prime factors of 96416 and 96426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96416 and 96426.

How to find the GCF of 96416 and 96426?

We will first find the prime factorization of 96416 and 96426. After we will calculate the factors of 96416 and 96426 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 96426

Prime factors of 96426 are 2, 3, 11, 487. Prime factorization of 96426 in exponential form is:

96426 = 2¹ × 3² × 11¹ × 487¹

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 96426

List of positive integer factors of 96426 that divides 96416 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 487, 974, 1461, 2922, 4383, 5357, 8766, 10714, 16071, 32142, 48213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96416 and 96426. The biggest common factor number is the GCF number.
So the greatest common factor 96416 and 96426 is 2.

Also check out the Least Common Multiple of 96416 and 96426