What is the Greatest Common Factor of 98380 and 98393?

Greatest common factor (GCF) of 98380 and 98393 is 1.

GCF(98380,98393) = 1

We will now calculate the prime factors of 98380 and 98393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98380 and 98393.

How to find the GCF of 98380 and 98393?

We will first find the prime factorization of 98380 and 98393. After we will calculate the factors of 98380 and 98393 and find the biggest common factor number .

Step-1: Prime Factorization of 98380

Prime factors of 98380 are 2, 5, 4919. Prime factorization of 98380 in exponential form is:

98380 = 2² × 5¹ × 4919¹

Step-2: Prime Factorization of 98393

Prime factors of 98393 are 61, 1613. Prime factorization of 98393 in exponential form is:

98393 = 61¹ × 1613¹

Step-3: Factors of 98380

List of positive integer factors of 98380 that divides 98380 without a remainder.

1, 2, 4, 5, 10, 20, 4919, 9838, 19676, 24595, 49190

Step-4: Factors of 98393

List of positive integer factors of 98393 that divides 98380 without a remainder.

1, 61, 1613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98380 and 98393. The biggest common factor number is the GCF number.
So the greatest common factor 98380 and 98393 is 1.

Also check out the Least Common Multiple of 98380 and 98393