What is the Greatest Common Factor of 59089 and 59105?

Greatest common factor (GCF) of 59089 and 59105 is 1.

GCF(59089,59105) = 1

We will now calculate the prime factors of 59089 and 59105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59089 and 59105.

How to find the GCF of 59089 and 59105?

We will first find the prime factorization of 59089 and 59105. After we will calculate the factors of 59089 and 59105 and find the biggest common factor number .

Step-1: Prime Factorization of 59089

Prime factors of 59089 are 37, 1597. Prime factorization of 59089 in exponential form is:

59089 = 37¹ × 1597¹

Step-2: Prime Factorization of 59105

Prime factors of 59105 are 5, 11821. Prime factorization of 59105 in exponential form is:

59105 = 5¹ × 11821¹

Step-3: Factors of 59089

List of positive integer factors of 59089 that divides 59089 without a remainder.

1, 37, 1597

Step-4: Factors of 59105

List of positive integer factors of 59105 that divides 59089 without a remainder.

1, 5, 11821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59089 and 59105. The biggest common factor number is the GCF number.
So the greatest common factor 59089 and 59105 is 1.

Also check out the Least Common Multiple of 59089 and 59105