What is the Greatest Common Factor of 30698 and 30711?

Greatest common factor (GCF) of 30698 and 30711 is 1.

GCF(30698,30711) = 1

We will now calculate the prime factors of 30698 and 30711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30698 and 30711.

How to find the GCF of 30698 and 30711?

We will first find the prime factorization of 30698 and 30711. After we will calculate the factors of 30698 and 30711 and find the biggest common factor number .

Step-1: Prime Factorization of 30698

Prime factors of 30698 are 2, 15349. Prime factorization of 30698 in exponential form is:

30698 = 2¹ × 15349¹

Step-2: Prime Factorization of 30711

Prime factors of 30711 are 3, 29, 353. Prime factorization of 30711 in exponential form is:

30711 = 3¹ × 29¹ × 353¹

Step-3: Factors of 30698

List of positive integer factors of 30698 that divides 30698 without a remainder.

1, 2, 15349

Step-4: Factors of 30711

List of positive integer factors of 30711 that divides 30698 without a remainder.

1, 3, 29, 87, 353, 1059, 10237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30698 and 30711. The biggest common factor number is the GCF number.
So the greatest common factor 30698 and 30711 is 1.

Also check out the Least Common Multiple of 30698 and 30711