What is the Greatest Common Factor of 96448 and 96468?

Greatest common factor (GCF) of 96448 and 96468 is 4.

GCF(96448,96468) = 4

We will now calculate the prime factors of 96448 and 96468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96448 and 96468.

How to find the GCF of 96448 and 96468?

We will first find the prime factorization of 96448 and 96468. After we will calculate the factors of 96448 and 96468 and find the biggest common factor number .

Step-1: Prime Factorization of 96448

Prime factors of 96448 are 2, 11, 137. Prime factorization of 96448 in exponential form is:

96448 = 2⁶ × 11¹ × 137¹

Step-2: Prime Factorization of 96468

Prime factors of 96468 are 2, 3, 8039. Prime factorization of 96468 in exponential form is:

96468 = 2² × 3¹ × 8039¹

Step-3: Factors of 96448

List of positive integer factors of 96448 that divides 96448 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 137, 176, 274, 352, 548, 704, 1096, 1507, 2192, 3014, 4384, 6028, 8768, 12056, 24112, 48224

Step-4: Factors of 96468

List of positive integer factors of 96468 that divides 96448 without a remainder.

1, 2, 3, 4, 6, 12, 8039, 16078, 24117, 32156, 48234

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96448 and 96468. The biggest common factor number is the GCF number.
So the greatest common factor 96448 and 96468 is 4.

Also check out the Least Common Multiple of 96448 and 96468