What is the Greatest Common Factor of 58033 and 58038?

Greatest common factor (GCF) of 58033 and 58038 is 1.

GCF(58033,58038) = 1

We will now calculate the prime factors of 58033 and 58038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58033 and 58038.

How to find the GCF of 58033 and 58038?

We will first find the prime factorization of 58033 and 58038. After we will calculate the factors of 58033 and 58038 and find the biggest common factor number .

Step-1: Prime Factorization of 58033

Prime factors of 58033 are 131, 443. Prime factorization of 58033 in exponential form is:

58033 = 131¹ × 443¹

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 58033

List of positive integer factors of 58033 that divides 58033 without a remainder.

1, 131, 443

Step-4: Factors of 58038

List of positive integer factors of 58038 that divides 58033 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 58033 and 58038. The biggest common factor number is the GCF number.
So the greatest common factor 58033 and 58038 is 1.

Also check out the Least Common Multiple of 58033 and 58038