What is the Greatest Common Factor of 98144 and 98149?

Greatest common factor (GCF) of 98144 and 98149 is 1.

GCF(98144,98149) = 1

We will now calculate the prime factors of 98144 and 98149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98144 and 98149.

How to find the GCF of 98144 and 98149?

We will first find the prime factorization of 98144 and 98149. After we will calculate the factors of 98144 and 98149 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 98149

Prime factors of 98149 are 61, 1609. Prime factorization of 98149 in exponential form is:

98149 = 61¹ × 1609¹

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 98149

List of positive integer factors of 98149 that divides 98144 without a remainder.

1, 61, 1609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98144 and 98149. The biggest common factor number is the GCF number.
So the greatest common factor 98144 and 98149 is 1.

Also check out the Least Common Multiple of 98144 and 98149