What is the Greatest Common Factor of 98432 and 98440?

Greatest common factor (GCF) of 98432 and 98440 is 8.

GCF(98432,98440) = 8

We will now calculate the prime factors of 98432 and 98440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98432 and 98440.

How to find the GCF of 98432 and 98440?

We will first find the prime factorization of 98432 and 98440. After we will calculate the factors of 98432 and 98440 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 98440

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

98440 = 2³ × 5¹ × 23¹ × 107¹

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 98440

List of positive integer factors of 98440 that divides 98432 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98432 and 98440. The biggest common factor number is the GCF number.
So the greatest common factor 98432 and 98440 is 8.

Also check out the Least Common Multiple of 98432 and 98440