What is the Greatest Common Factor of 98380 and 98390?

Greatest common factor (GCF) of 98380 and 98390 is 10.

GCF(98380,98390) = 10

We will now calculate the prime factors of 98380 and 98390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98380 and 98390.

How to find the GCF of 98380 and 98390?

We will first find the prime factorization of 98380 and 98390. After we will calculate the factors of 98380 and 98390 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 98390

Prime factors of 98390 are 2, 5, 9839. Prime factorization of 98390 in exponential form is:

98390 = 2¹ × 5¹ × 9839¹

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 98390

List of positive integer factors of 98390 that divides 98380 without a remainder.

1, 2, 5, 10, 9839, 19678, 49195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98380 and 98390. The biggest common factor number is the GCF number.
So the greatest common factor 98380 and 98390 is 10.

Also check out the Least Common Multiple of 98380 and 98390