What is the Greatest Common Factor of 98034 and 98044?

Greatest common factor (GCF) of 98034 and 98044 is 2.

GCF(98034,98044) = 2

We will now calculate the prime factors of 98034 and 98044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98034 and 98044.

How to find the GCF of 98034 and 98044?

We will first find the prime factorization of 98034 and 98044. After we will calculate the factors of 98034 and 98044 and find the biggest common factor number .

Step-1: Prime Factorization of 98034

Prime factors of 98034 are 2, 3, 16339. Prime factorization of 98034 in exponential form is:

98034 = 2¹ × 3¹ × 16339¹

Step-2: Prime Factorization of 98044

Prime factors of 98044 are 2, 127, 193. Prime factorization of 98044 in exponential form is:

98044 = 2² × 127¹ × 193¹

Step-3: Factors of 98034

List of positive integer factors of 98034 that divides 98034 without a remainder.

1, 2, 3, 6, 16339, 32678, 49017

Step-4: Factors of 98044

List of positive integer factors of 98044 that divides 98034 without a remainder.

1, 2, 4, 127, 193, 254, 386, 508, 772, 24511, 49022

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98034 and 98044. The biggest common factor number is the GCF number.
So the greatest common factor 98034 and 98044 is 2.

Also check out the Least Common Multiple of 98034 and 98044