What is the Greatest Common Factor of 59030 and 59048?

Greatest common factor (GCF) of 59030 and 59048 is 2.

GCF(59030,59048) = 2

We will now calculate the prime factors of 59030 and 59048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59030 and 59048.

How to find the GCF of 59030 and 59048?

We will first find the prime factorization of 59030 and 59048. After we will calculate the factors of 59030 and 59048 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59048

Prime factors of 59048 are 2, 11, 61. Prime factorization of 59048 in exponential form is:

59048 = 2³ × 11² × 61¹

Step-3: Factors of 59030

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

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

Step-4: Factors of 59048

List of positive integer factors of 59048 that divides 59030 without a remainder.

1, 2, 4, 8, 11, 22, 44, 61, 88, 121, 122, 242, 244, 484, 488, 671, 968, 1342, 2684, 5368, 7381, 14762, 29524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59030 and 59048. The biggest common factor number is the GCF number.
So the greatest common factor 59030 and 59048 is 2.

Also check out the Least Common Multiple of 59030 and 59048