What is the Greatest Common Factor of 58006 and 58022?

Greatest common factor (GCF) of 58006 and 58022 is 2.

GCF(58006,58022) = 2

We will now calculate the prime factors of 58006 and 58022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58006 and 58022.

How to find the GCF of 58006 and 58022?

We will first find the prime factorization of 58006 and 58022. After we will calculate the factors of 58006 and 58022 and find the biggest common factor number .

Step-1: Prime Factorization of 58006

Prime factors of 58006 are 2, 13, 23, 97. Prime factorization of 58006 in exponential form is:

58006 = 2¹ × 13¹ × 23¹ × 97¹

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 58006

List of positive integer factors of 58006 that divides 58006 without a remainder.

1, 2, 13, 23, 26, 46, 97, 194, 299, 598, 1261, 2231, 2522, 4462, 29003

Step-4: Factors of 58022

List of positive integer factors of 58022 that divides 58006 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58006 and 58022. The biggest common factor number is the GCF number.
So the greatest common factor 58006 and 58022 is 2.

Also check out the Least Common Multiple of 58006 and 58022