What is the Greatest Common Factor of 30459 and 30479?

Greatest common factor (GCF) of 30459 and 30479 is 1.

GCF(30459,30479) = 1

We will now calculate the prime factors of 30459 and 30479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30459 and 30479.

How to find the GCF of 30459 and 30479?

We will first find the prime factorization of 30459 and 30479. After we will calculate the factors of 30459 and 30479 and find the biggest common factor number .

Step-1: Prime Factorization of 30459

Prime factors of 30459 are 3, 11, 13, 71. Prime factorization of 30459 in exponential form is:

30459 = 3¹ × 11¹ × 13¹ × 71¹

Step-2: Prime Factorization of 30479

Prime factors of 30479 are 29, 1051. Prime factorization of 30479 in exponential form is:

30479 = 29¹ × 1051¹

Step-3: Factors of 30459

List of positive integer factors of 30459 that divides 30459 without a remainder.

1, 3, 11, 13, 33, 39, 71, 143, 213, 429, 781, 923, 2343, 2769, 10153

Step-4: Factors of 30479

List of positive integer factors of 30479 that divides 30459 without a remainder.

1, 29, 1051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30459 and 30479. The biggest common factor number is the GCF number.
So the greatest common factor 30459 and 30479 is 1.

Also check out the Least Common Multiple of 30459 and 30479