What is the Greatest Common Factor of 59026 and 59039?

Greatest common factor (GCF) of 59026 and 59039 is 1.

GCF(59026,59039) = 1

We will now calculate the prime factors of 59026 and 59039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59026 and 59039.

How to find the GCF of 59026 and 59039?

We will first find the prime factorization of 59026 and 59039. After we will calculate the factors of 59026 and 59039 and find the biggest common factor number .

Step-1: Prime Factorization of 59026

Prime factors of 59026 are 2, 11, 2683. Prime factorization of 59026 in exponential form is:

59026 = 2¹ × 11¹ × 2683¹

Step-2: Prime Factorization of 59039

Prime factors of 59039 are 43, 1373. Prime factorization of 59039 in exponential form is:

59039 = 43¹ × 1373¹

Step-3: Factors of 59026

List of positive integer factors of 59026 that divides 59026 without a remainder.

1, 2, 11, 22, 2683, 5366, 29513

Step-4: Factors of 59039

List of positive integer factors of 59039 that divides 59026 without a remainder.

1, 43, 1373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59026 and 59039. The biggest common factor number is the GCF number.
So the greatest common factor 59026 and 59039 is 1.

Also check out the Least Common Multiple of 59026 and 59039