What is the Greatest Common Factor of 59147 and 59167?

Greatest common factor (GCF) of 59147 and 59167 is 1.

GCF(59147,59167) = 1

We will now calculate the prime factors of 59147 and 59167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59147 and 59167.

How to find the GCF of 59147 and 59167?

We will first find the prime factorization of 59147 and 59167. After we will calculate the factors of 59147 and 59167 and find the biggest common factor number .

Step-1: Prime Factorization of 59147

Prime factors of 59147 are 11, 19, 283. Prime factorization of 59147 in exponential form is:

59147 = 11¹ × 19¹ × 283¹

Step-2: Prime Factorization of 59167

Prime factors of 59167 are 59167. Prime factorization of 59167 in exponential form is:

59167 = 59167¹

Step-3: Factors of 59147

List of positive integer factors of 59147 that divides 59147 without a remainder.

1, 11, 19, 209, 283, 3113, 5377

Step-4: Factors of 59167

List of positive integer factors of 59167 that divides 59147 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59147 and 59167. The biggest common factor number is the GCF number.
So the greatest common factor 59147 and 59167 is 1.

Also check out the Least Common Multiple of 59147 and 59167