What is the Greatest Common Factor of 30514 and 30521?

Greatest common factor (GCF) of 30514 and 30521 is 1.

GCF(30514,30521) = 1

We will now calculate the prime factors of 30514 and 30521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30514 and 30521.

How to find the GCF of 30514 and 30521?

We will first find the prime factorization of 30514 and 30521. After we will calculate the factors of 30514 and 30521 and find the biggest common factor number .

Step-1: Prime Factorization of 30514

Prime factors of 30514 are 2, 11, 19, 73. Prime factorization of 30514 in exponential form is:

30514 = 2¹ × 11¹ × 19¹ × 73¹

Step-2: Prime Factorization of 30521

Prime factors of 30521 are 23, 1327. Prime factorization of 30521 in exponential form is:

30521 = 23¹ × 1327¹

Step-3: Factors of 30514

List of positive integer factors of 30514 that divides 30514 without a remainder.

1, 2, 11, 19, 22, 38, 73, 146, 209, 418, 803, 1387, 1606, 2774, 15257

Step-4: Factors of 30521

List of positive integer factors of 30521 that divides 30514 without a remainder.

1, 23, 1327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30514 and 30521. The biggest common factor number is the GCF number.
So the greatest common factor 30514 and 30521 is 1.

Also check out the Least Common Multiple of 30514 and 30521