What is the Greatest Common Factor of 98894 and 98898?

Greatest common factor (GCF) of 98894 and 98898 is 2.

GCF(98894,98898) = 2

We will now calculate the prime factors of 98894 and 98898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98894 and 98898.

How to find the GCF of 98894 and 98898?

We will first find the prime factorization of 98894 and 98898. After we will calculate the factors of 98894 and 98898 and find the biggest common factor number .

Step-1: Prime Factorization of 98894

Prime factors of 98894 are 2, 197, 251. Prime factorization of 98894 in exponential form is:

98894 = 2¹ × 197¹ × 251¹

Step-2: Prime Factorization of 98898

Prime factors of 98898 are 2, 3, 53, 311. Prime factorization of 98898 in exponential form is:

98898 = 2¹ × 3¹ × 53¹ × 311¹

Step-3: Factors of 98894

List of positive integer factors of 98894 that divides 98894 without a remainder.

1, 2, 197, 251, 394, 502, 49447

Step-4: Factors of 98898

List of positive integer factors of 98898 that divides 98894 without a remainder.

1, 2, 3, 6, 53, 106, 159, 311, 318, 622, 933, 1866, 16483, 32966, 49449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98894 and 98898. The biggest common factor number is the GCF number.
So the greatest common factor 98894 and 98898 is 2.

Also check out the Least Common Multiple of 98894 and 98898