What is the Greatest Common Factor of 96440 and 96448?

Greatest common factor (GCF) of 96440 and 96448 is 8.

GCF(96440,96448) = 8

We will now calculate the prime factors of 96440 and 96448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96440 and 96448.

How to find the GCF of 96440 and 96448?

We will first find the prime factorization of 96440 and 96448. After we will calculate the factors of 96440 and 96448 and find the biggest common factor number .

Step-1: Prime Factorization of 96440

Prime factors of 96440 are 2, 5, 2411. Prime factorization of 96440 in exponential form is:

96440 = 2³ × 5¹ × 2411¹

Step-2: 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-3: Factors of 96440

List of positive integer factors of 96440 that divides 96440 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2411, 4822, 9644, 12055, 19288, 24110, 48220

Step-4: Factors of 96448

List of positive integer factors of 96448 that divides 96440 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96440 and 96448. The biggest common factor number is the GCF number.
So the greatest common factor 96440 and 96448 is 8.

Also check out the Least Common Multiple of 96440 and 96448