What is the Greatest Common Factor of 58010 and 58020?

Greatest common factor (GCF) of 58010 and 58020 is 10.

GCF(58010,58020) = 10

We will now calculate the prime factors of 58010 and 58020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58010 and 58020.

How to find the GCF of 58010 and 58020?

We will first find the prime factorization of 58010 and 58020. After we will calculate the factors of 58010 and 58020 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 58020

Prime factors of 58020 are 2, 3, 5, 967. Prime factorization of 58020 in exponential form is:

58020 = 2² × 3¹ × 5¹ × 967¹

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 58020

List of positive integer factors of 58020 that divides 58010 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 967, 1934, 2901, 3868, 4835, 5802, 9670, 11604, 14505, 19340, 29010

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58010 and 58020. The biggest common factor number is the GCF number.
So the greatest common factor 58010 and 58020 is 10.

Also check out the Least Common Multiple of 58010 and 58020