What is the Greatest Common Factor of 30051 and 30059?

Greatest common factor (GCF) of 30051 and 30059 is 1.

GCF(30051,30059) = 1

We will now calculate the prime factors of 30051 and 30059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30051 and 30059.

How to find the GCF of 30051 and 30059?

We will first find the prime factorization of 30051 and 30059. After we will calculate the factors of 30051 and 30059 and find the biggest common factor number .

Step-1: Prime Factorization of 30051

Prime factors of 30051 are 3, 7, 53. Prime factorization of 30051 in exponential form is:

30051 = 3⁴ × 7¹ × 53¹

Step-2: Prime Factorization of 30059

Prime factors of 30059 are 30059. Prime factorization of 30059 in exponential form is:

30059 = 30059¹

Step-3: Factors of 30051

List of positive integer factors of 30051 that divides 30051 without a remainder.

1, 3, 7, 9, 21, 27, 53, 63, 81, 159, 189, 371, 477, 567, 1113, 1431, 3339, 4293, 10017

Step-4: Factors of 30059

List of positive integer factors of 30059 that divides 30051 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30051 and 30059. The biggest common factor number is the GCF number.
So the greatest common factor 30051 and 30059 is 1.

Also check out the Least Common Multiple of 30051 and 30059