What is the Greatest Common Factor of 59144 and 59159?

Greatest common factor (GCF) of 59144 and 59159 is 1.

GCF(59144,59159) = 1

We will now calculate the prime factors of 59144 and 59159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59144 and 59159.

How to find the GCF of 59144 and 59159?

We will first find the prime factorization of 59144 and 59159. After we will calculate the factors of 59144 and 59159 and find the biggest common factor number .

Step-1: Prime Factorization of 59144

Prime factors of 59144 are 2, 7393. Prime factorization of 59144 in exponential form is:

59144 = 2³ × 7393¹

Step-2: Prime Factorization of 59159

Prime factors of 59159 are 59159. Prime factorization of 59159 in exponential form is:

59159 = 59159¹

Step-3: Factors of 59144

List of positive integer factors of 59144 that divides 59144 without a remainder.

1, 2, 4, 8, 7393, 14786, 29572

Step-4: Factors of 59159

List of positive integer factors of 59159 that divides 59144 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59144 and 59159. The biggest common factor number is the GCF number.
So the greatest common factor 59144 and 59159 is 1.

Also check out the Least Common Multiple of 59144 and 59159