What is the Greatest Common Factor of 30051 and 30058?

Greatest common factor (GCF) of 30051 and 30058 is 7.

GCF(30051,30058) = 7

We will now calculate the prime factors of 30051 and 30058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30051 and 30058.

How to find the GCF of 30051 and 30058?

We will first find the prime factorization of 30051 and 30058. After we will calculate the factors of 30051 and 30058 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 30058

Prime factors of 30058 are 2, 7, 19, 113. Prime factorization of 30058 in exponential form is:

30058 = 2¹ × 7¹ × 19¹ × 113¹

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 30058

List of positive integer factors of 30058 that divides 30051 without a remainder.

1, 2, 7, 14, 19, 38, 113, 133, 226, 266, 791, 1582, 2147, 4294, 15029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30051 and 30058. The biggest common factor number is the GCF number.
So the greatest common factor 30051 and 30058 is 7.

Also check out the Least Common Multiple of 30051 and 30058