What is the Greatest Common Factor of 98882 and 98896?

Greatest common factor (GCF) of 98882 and 98896 is 14.

GCF(98882,98896) = 14

We will now calculate the prime factors of 98882 and 98896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98882 and 98896.

How to find the GCF of 98882 and 98896?

We will first find the prime factorization of 98882 and 98896. After we will calculate the factors of 98882 and 98896 and find the biggest common factor number .

Step-1: Prime Factorization of 98882

Prime factors of 98882 are 2, 7, 1009. Prime factorization of 98882 in exponential form is:

98882 = 2¹ × 7² × 1009¹

Step-2: 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-3: Factors of 98882

List of positive integer factors of 98882 that divides 98882 without a remainder.

1, 2, 7, 14, 49, 98, 1009, 2018, 7063, 14126, 49441

Step-4: Factors of 98896

List of positive integer factors of 98896 that divides 98882 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98882 and 98896. The biggest common factor number is the GCF number.
So the greatest common factor 98882 and 98896 is 14.

Also check out the Least Common Multiple of 98882 and 98896