What is the Greatest Common Factor of 98144 and 98152?

Greatest common factor (GCF) of 98144 and 98152 is 8.

GCF(98144,98152) = 8

We will now calculate the prime factors of 98144 and 98152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98144 and 98152.

How to find the GCF of 98144 and 98152?

We will first find the prime factorization of 98144 and 98152. After we will calculate the factors of 98144 and 98152 and find the biggest common factor number .

Step-1: Prime Factorization of 98144

Prime factors of 98144 are 2, 3067. Prime factorization of 98144 in exponential form is:

98144 = 2⁵ × 3067¹

Step-2: Prime Factorization of 98152

Prime factors of 98152 are 2, 12269. Prime factorization of 98152 in exponential form is:

98152 = 2³ × 12269¹

Step-3: Factors of 98144

List of positive integer factors of 98144 that divides 98144 without a remainder.

1, 2, 4, 8, 16, 32, 3067, 6134, 12268, 24536, 49072

Step-4: Factors of 98152

List of positive integer factors of 98152 that divides 98144 without a remainder.

1, 2, 4, 8, 12269, 24538, 49076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98144 and 98152. The biggest common factor number is the GCF number.
So the greatest common factor 98144 and 98152 is 8.

Also check out the Least Common Multiple of 98144 and 98152