What is the Greatest Common Factor of 30039 and 30058?

Greatest common factor (GCF) of 30039 and 30058 is 19.

GCF(30039,30058) = 19

We will now calculate the prime factors of 30039 and 30058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30039 and 30058.

How to find the GCF of 30039 and 30058?

We will first find the prime factorization of 30039 and 30058. After we will calculate the factors of 30039 and 30058 and find the biggest common factor number .

Step-1: Prime Factorization of 30039

Prime factors of 30039 are 3, 17, 19, 31. Prime factorization of 30039 in exponential form is:

30039 = 3¹ × 17¹ × 19¹ × 31¹

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 30039

List of positive integer factors of 30039 that divides 30039 without a remainder.

1, 3, 17, 19, 31, 51, 57, 93, 323, 527, 589, 969, 1581, 1767, 10013

Step-4: Factors of 30058

List of positive integer factors of 30058 that divides 30039 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 30039 and 30058. The biggest common factor number is the GCF number.
So the greatest common factor 30039 and 30058 is 19.

Also check out the Least Common Multiple of 30039 and 30058