What is the Greatest Common Factor of 58033 and 58037?

Greatest common factor (GCF) of 58033 and 58037 is 1.

GCF(58033,58037) = 1

We will now calculate the prime factors of 58033 and 58037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58033 and 58037.

How to find the GCF of 58033 and 58037?

We will first find the prime factorization of 58033 and 58037. After we will calculate the factors of 58033 and 58037 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 58037

Prime factors of 58037 are 7, 8291. Prime factorization of 58037 in exponential form is:

58037 = 7¹ × 8291¹

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 58037

List of positive integer factors of 58037 that divides 58033 without a remainder.

1, 7, 8291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58033 and 58037. The biggest common factor number is the GCF number.
So the greatest common factor 58033 and 58037 is 1.

Also check out the Least Common Multiple of 58033 and 58037