What is the Greatest Common Factor of 59789 and 59806?

Greatest common factor (GCF) of 59789 and 59806 is 17.

GCF(59789,59806) = 17

We will now calculate the prime factors of 59789 and 59806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59789 and 59806.

How to find the GCF of 59789 and 59806?

We will first find the prime factorization of 59789 and 59806. After we will calculate the factors of 59789 and 59806 and find the biggest common factor number .

Step-1: Prime Factorization of 59789

Prime factors of 59789 are 17, 3517. Prime factorization of 59789 in exponential form is:

59789 = 17¹ × 3517¹

Step-2: Prime Factorization of 59806

Prime factors of 59806 are 2, 17, 1759. Prime factorization of 59806 in exponential form is:

59806 = 2¹ × 17¹ × 1759¹

Step-3: Factors of 59789

List of positive integer factors of 59789 that divides 59789 without a remainder.

1, 17, 3517

Step-4: Factors of 59806

List of positive integer factors of 59806 that divides 59789 without a remainder.

1, 2, 17, 34, 1759, 3518, 29903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59789 and 59806. The biggest common factor number is the GCF number.
So the greatest common factor 59789 and 59806 is 17.

Also check out the Least Common Multiple of 59789 and 59806