What is the Greatest Common Factor of 98460 and 98465?

Greatest common factor (GCF) of 98460 and 98465 is 5.

GCF(98460,98465) = 5

We will now calculate the prime factors of 98460 and 98465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98460 and 98465.

How to find the GCF of 98460 and 98465?

We will first find the prime factorization of 98460 and 98465. After we will calculate the factors of 98460 and 98465 and find the biggest common factor number .

Step-1: Prime Factorization of 98460

Prime factors of 98460 are 2, 3, 5, 547. Prime factorization of 98460 in exponential form is:

98460 = 2² × 3² × 5¹ × 547¹

Step-2: Prime Factorization of 98465

Prime factors of 98465 are 5, 47, 419. Prime factorization of 98465 in exponential form is:

98465 = 5¹ × 47¹ × 419¹

Step-3: Factors of 98460

List of positive integer factors of 98460 that divides 98460 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 547, 1094, 1641, 2188, 2735, 3282, 4923, 5470, 6564, 8205, 9846, 10940, 16410, 19692, 24615, 32820, 49230

Step-4: Factors of 98465

List of positive integer factors of 98465 that divides 98460 without a remainder.

1, 5, 47, 235, 419, 2095, 19693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98460 and 98465. The biggest common factor number is the GCF number.
So the greatest common factor 98460 and 98465 is 5.

Also check out the Least Common Multiple of 98460 and 98465