What is the Greatest Common Factor of 30098 and 30103?

Greatest common factor (GCF) of 30098 and 30103 is 1.

GCF(30098,30103) = 1

We will now calculate the prime factors of 30098 and 30103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30098 and 30103.

How to find the GCF of 30098 and 30103?

We will first find the prime factorization of 30098 and 30103. After we will calculate the factors of 30098 and 30103 and find the biggest common factor number .

Step-1: Prime Factorization of 30098

Prime factors of 30098 are 2, 101, 149. Prime factorization of 30098 in exponential form is:

30098 = 2¹ × 101¹ × 149¹

Step-2: Prime Factorization of 30103

Prime factors of 30103 are 30103. Prime factorization of 30103 in exponential form is:

30103 = 30103¹

Step-3: Factors of 30098

List of positive integer factors of 30098 that divides 30098 without a remainder.

1, 2, 101, 149, 202, 298, 15049

Step-4: Factors of 30103

List of positive integer factors of 30103 that divides 30098 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30098 and 30103. The biggest common factor number is the GCF number.
So the greatest common factor 30098 and 30103 is 1.

Also check out the Least Common Multiple of 30098 and 30103