What is the Greatest Common Factor of 30494 and 30509?

Greatest common factor (GCF) of 30494 and 30509 is 1.

GCF(30494,30509) = 1

We will now calculate the prime factors of 30494 and 30509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30494 and 30509.

How to find the GCF of 30494 and 30509?

We will first find the prime factorization of 30494 and 30509. After we will calculate the factors of 30494 and 30509 and find the biggest common factor number .

Step-1: Prime Factorization of 30494

Prime factors of 30494 are 2, 79, 193. Prime factorization of 30494 in exponential form is:

30494 = 2¹ × 79¹ × 193¹

Step-2: Prime Factorization of 30509

Prime factors of 30509 are 30509. Prime factorization of 30509 in exponential form is:

30509 = 30509¹

Step-3: Factors of 30494

List of positive integer factors of 30494 that divides 30494 without a remainder.

1, 2, 79, 158, 193, 386, 15247

Step-4: Factors of 30509

List of positive integer factors of 30509 that divides 30494 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30494 and 30509. The biggest common factor number is the GCF number.
So the greatest common factor 30494 and 30509 is 1.

Also check out the Least Common Multiple of 30494 and 30509