What is the Greatest Common Factor of 58029 and 58038?

Greatest common factor (GCF) of 58029 and 58038 is 3.

GCF(58029,58038) = 3

We will now calculate the prime factors of 58029 and 58038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58029 and 58038.

How to find the GCF of 58029 and 58038?

We will first find the prime factorization of 58029 and 58038. After we will calculate the factors of 58029 and 58038 and find the biggest common factor number .

Step-1: Prime Factorization of 58029

Prime factors of 58029 are 3, 23, 29. Prime factorization of 58029 in exponential form is:

58029 = 3¹ × 23¹ × 29²

Step-2: Prime Factorization of 58038

Prime factors of 58038 are 2, 3, 17, 569. Prime factorization of 58038 in exponential form is:

58038 = 2¹ × 3¹ × 17¹ × 569¹

Step-3: Factors of 58029

List of positive integer factors of 58029 that divides 58029 without a remainder.

1, 3, 23, 29, 69, 87, 667, 841, 2001, 2523, 19343

Step-4: Factors of 58038

List of positive integer factors of 58038 that divides 58029 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 569, 1138, 1707, 3414, 9673, 19346, 29019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58029 and 58038. The biggest common factor number is the GCF number.
So the greatest common factor 58029 and 58038 is 3.

Also check out the Least Common Multiple of 58029 and 58038