What is the Greatest Common Factor of 98896 and 98914?

Greatest common factor (GCF) of 98896 and 98914 is 2.

GCF(98896,98914) = 2

We will now calculate the prime factors of 98896 and 98914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98896 and 98914.

How to find the GCF of 98896 and 98914?

We will first find the prime factorization of 98896 and 98914. After we will calculate the factors of 98896 and 98914 and find the biggest common factor number .

Step-1: Prime Factorization of 98896

Prime factors of 98896 are 2, 7, 883. Prime factorization of 98896 in exponential form is:

98896 = 2⁴ × 7¹ × 883¹

Step-2: Prime Factorization of 98914

Prime factors of 98914 are 2, 19, 137. Prime factorization of 98914 in exponential form is:

98914 = 2¹ × 19² × 137¹

Step-3: Factors of 98896

List of positive integer factors of 98896 that divides 98896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 883, 1766, 3532, 6181, 7064, 12362, 14128, 24724, 49448

Step-4: Factors of 98914

List of positive integer factors of 98914 that divides 98896 without a remainder.

1, 2, 19, 38, 137, 274, 361, 722, 2603, 5206, 49457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98896 and 98914. The biggest common factor number is the GCF number.
So the greatest common factor 98896 and 98914 is 2.

Also check out the Least Common Multiple of 98896 and 98914