What is the Greatest Common Factor of 58010 and 58022?

Greatest common factor (GCF) of 58010 and 58022 is 2.

GCF(58010,58022) = 2

We will now calculate the prime factors of 58010 and 58022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58010 and 58022.

How to find the GCF of 58010 and 58022?

We will first find the prime factorization of 58010 and 58022. After we will calculate the factors of 58010 and 58022 and find the biggest common factor number .

Step-1: Prime Factorization of 58010

Prime factors of 58010 are 2, 5, 5801. Prime factorization of 58010 in exponential form is:

58010 = 2¹ × 5¹ × 5801¹

Step-2: Prime Factorization of 58022

Prime factors of 58022 are 2, 67, 433. Prime factorization of 58022 in exponential form is:

58022 = 2¹ × 67¹ × 433¹

Step-3: Factors of 58010

List of positive integer factors of 58010 that divides 58010 without a remainder.

1, 2, 5, 10, 5801, 11602, 29005

Step-4: Factors of 58022

List of positive integer factors of 58022 that divides 58010 without a remainder.

1, 2, 67, 134, 433, 866, 29011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58010 and 58022. The biggest common factor number is the GCF number.
So the greatest common factor 58010 and 58022 is 2.

Also check out the Least Common Multiple of 58010 and 58022