What is the Greatest Common Factor of 98440 and 98448?

Greatest common factor (GCF) of 98440 and 98448 is 8.

GCF(98440,98448) = 8

We will now calculate the prime factors of 98440 and 98448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98440 and 98448.

How to find the GCF of 98440 and 98448?

We will first find the prime factorization of 98440 and 98448. After we will calculate the factors of 98440 and 98448 and find the biggest common factor number .

Step-1: Prime Factorization of 98440

Prime factors of 98440 are 2, 5, 23, 107. Prime factorization of 98440 in exponential form is:

98440 = 2³ × 5¹ × 23¹ × 107¹

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 98440

List of positive integer factors of 98440 that divides 98440 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 107, 115, 184, 214, 230, 428, 460, 535, 856, 920, 1070, 2140, 2461, 4280, 4922, 9844, 12305, 19688, 24610, 49220

Step-4: Factors of 98448

List of positive integer factors of 98448 that divides 98440 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 98440 and 98448. The biggest common factor number is the GCF number.
So the greatest common factor 98440 and 98448 is 8.

Also check out the Least Common Multiple of 98440 and 98448