What is the Greatest Common Factor of 98432 and 98448?

Greatest common factor (GCF) of 98432 and 98448 is 16.

GCF(98432,98448) = 16

We will now calculate the prime factors of 98432 and 98448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98432 and 98448.

How to find the GCF of 98432 and 98448?

We will first find the prime factorization of 98432 and 98448. After we will calculate the factors of 98432 and 98448 and find the biggest common factor number .

Step-1: Prime Factorization of 98432

Prime factors of 98432 are 2, 769. Prime factorization of 98432 in exponential form is:

98432 = 2⁷ × 769¹

Step-2: Prime Factorization of 98448

Prime factors of 98448 are 2, 3, 7, 293. Prime factorization of 98448 in exponential form is:

98448 = 2⁴ × 3¹ × 7¹ × 293¹

Step-3: Factors of 98432

List of positive integer factors of 98432 that divides 98432 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 769, 1538, 3076, 6152, 12304, 24608, 49216

Step-4: Factors of 98448

List of positive integer factors of 98448 that divides 98432 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 293, 336, 586, 879, 1172, 1758, 2051, 2344, 3516, 4102, 4688, 6153, 7032, 8204, 12306, 14064, 16408, 24612, 32816, 49224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98432 and 98448. The biggest common factor number is the GCF number.
So the greatest common factor 98432 and 98448 is 16.

Also check out the Least Common Multiple of 98432 and 98448