What is the Greatest Common Factor of 96448 and 96452?

Greatest common factor (GCF) of 96448 and 96452 is 4.

GCF(96448,96452) = 4

We will now calculate the prime factors of 96448 and 96452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96448 and 96452.

How to find the GCF of 96448 and 96452?

We will first find the prime factorization of 96448 and 96452. After we will calculate the factors of 96448 and 96452 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 96452

Prime factors of 96452 are 2, 24113. Prime factorization of 96452 in exponential form is:

96452 = 2² × 24113¹

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 96452

List of positive integer factors of 96452 that divides 96448 without a remainder.

1, 2, 4, 24113, 48226

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96448 and 96452. The biggest common factor number is the GCF number.
So the greatest common factor 96448 and 96452 is 4.

Also check out the Least Common Multiple of 96448 and 96452