What is the Greatest Common Factor of 98216 and 98225?

Greatest common factor (GCF) of 98216 and 98225 is 1.

GCF(98216,98225) = 1

We will now calculate the prime factors of 98216 and 98225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98216 and 98225.

How to find the GCF of 98216 and 98225?

We will first find the prime factorization of 98216 and 98225. After we will calculate the factors of 98216 and 98225 and find the biggest common factor number .

Step-1: Prime Factorization of 98216

Prime factors of 98216 are 2, 12277. Prime factorization of 98216 in exponential form is:

98216 = 2³ × 12277¹

Step-2: Prime Factorization of 98225

Prime factors of 98225 are 5, 3929. Prime factorization of 98225 in exponential form is:

98225 = 5² × 3929¹

Step-3: Factors of 98216

List of positive integer factors of 98216 that divides 98216 without a remainder.

1, 2, 4, 8, 12277, 24554, 49108

Step-4: Factors of 98225

List of positive integer factors of 98225 that divides 98216 without a remainder.

1, 5, 25, 3929, 19645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98216 and 98225. The biggest common factor number is the GCF number.
So the greatest common factor 98216 and 98225 is 1.

Also check out the Least Common Multiple of 98216 and 98225