What is the Greatest Common Factor of 59020 and 59030?

Greatest common factor (GCF) of 59020 and 59030 is 10.

GCF(59020,59030) = 10

We will now calculate the prime factors of 59020 and 59030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59020 and 59030.

How to find the GCF of 59020 and 59030?

We will first find the prime factorization of 59020 and 59030. After we will calculate the factors of 59020 and 59030 and find the biggest common factor number .

Step-1: Prime Factorization of 59020

Prime factors of 59020 are 2, 5, 13, 227. Prime factorization of 59020 in exponential form is:

59020 = 2² × 5¹ × 13¹ × 227¹

Step-2: Prime Factorization of 59030

Prime factors of 59030 are 2, 5, 5903. Prime factorization of 59030 in exponential form is:

59030 = 2¹ × 5¹ × 5903¹

Step-3: Factors of 59020

List of positive integer factors of 59020 that divides 59020 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 227, 260, 454, 908, 1135, 2270, 2951, 4540, 5902, 11804, 14755, 29510

Step-4: Factors of 59030

List of positive integer factors of 59030 that divides 59020 without a remainder.

1, 2, 5, 10, 5903, 11806, 29515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59020 and 59030. The biggest common factor number is the GCF number.
So the greatest common factor 59020 and 59030 is 10.

Also check out the Least Common Multiple of 59020 and 59030