What is the Greatest Common Factor of 59034 and 59044?

Greatest common factor (GCF) of 59034 and 59044 is 2.

GCF(59034,59044) = 2

We will now calculate the prime factors of 59034 and 59044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59034 and 59044.

How to find the GCF of 59034 and 59044?

We will first find the prime factorization of 59034 and 59044. After we will calculate the factors of 59034 and 59044 and find the biggest common factor number .

Step-1: Prime Factorization of 59034

Prime factors of 59034 are 2, 3, 9839. Prime factorization of 59034 in exponential form is:

59034 = 2¹ × 3¹ × 9839¹

Step-2: Prime Factorization of 59044

Prime factors of 59044 are 2, 29, 509. Prime factorization of 59044 in exponential form is:

59044 = 2² × 29¹ × 509¹

Step-3: Factors of 59034

List of positive integer factors of 59034 that divides 59034 without a remainder.

1, 2, 3, 6, 9839, 19678, 29517

Step-4: Factors of 59044

List of positive integer factors of 59044 that divides 59034 without a remainder.

1, 2, 4, 29, 58, 116, 509, 1018, 2036, 14761, 29522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59034 and 59044. The biggest common factor number is the GCF number.
So the greatest common factor 59034 and 59044 is 2.

Also check out the Least Common Multiple of 59034 and 59044