What is the Greatest Common Factor of 98454 and 98469?

Greatest common factor (GCF) of 98454 and 98469 is 3.

GCF(98454,98469) = 3

We will now calculate the prime factors of 98454 and 98469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98454 and 98469.

How to find the GCF of 98454 and 98469?

We will first find the prime factorization of 98454 and 98469. After we will calculate the factors of 98454 and 98469 and find the biggest common factor number .

Step-1: Prime Factorization of 98454

Prime factors of 98454 are 2, 3, 61, 269. Prime factorization of 98454 in exponential form is:

98454 = 2¹ × 3¹ × 61¹ × 269¹

Step-2: Prime Factorization of 98469

Prime factors of 98469 are 3, 7, 521. Prime factorization of 98469 in exponential form is:

98469 = 3³ × 7¹ × 521¹

Step-3: Factors of 98454

List of positive integer factors of 98454 that divides 98454 without a remainder.

1, 2, 3, 6, 61, 122, 183, 269, 366, 538, 807, 1614, 16409, 32818, 49227

Step-4: Factors of 98469

List of positive integer factors of 98469 that divides 98454 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 521, 1563, 3647, 4689, 10941, 14067, 32823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98454 and 98469. The biggest common factor number is the GCF number.
So the greatest common factor 98454 and 98469 is 3.

Also check out the Least Common Multiple of 98454 and 98469