What is the Greatest Common Factor of 96428 and 96442?

Greatest common factor (GCF) of 96428 and 96442 is 2.

GCF(96428,96442) = 2

We will now calculate the prime factors of 96428 and 96442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96428 and 96442.

How to find the GCF of 96428 and 96442?

We will first find the prime factorization of 96428 and 96442. After we will calculate the factors of 96428 and 96442 and find the biggest common factor number .

Step-1: Prime Factorization of 96428

Prime factors of 96428 are 2, 24107. Prime factorization of 96428 in exponential form is:

96428 = 2² × 24107¹

Step-2: Prime Factorization of 96442

Prime factors of 96442 are 2, 48221. Prime factorization of 96442 in exponential form is:

96442 = 2¹ × 48221¹

Step-3: Factors of 96428

List of positive integer factors of 96428 that divides 96428 without a remainder.

1, 2, 4, 24107, 48214

Step-4: Factors of 96442

List of positive integer factors of 96442 that divides 96428 without a remainder.

1, 2, 48221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96428 and 96442. The biggest common factor number is the GCF number.
So the greatest common factor 96428 and 96442 is 2.

Also check out the Least Common Multiple of 96428 and 96442