What is the Greatest Common Factor of 59339 and 59351?

Greatest common factor (GCF) of 59339 and 59351 is 1.

GCF(59339,59351) = 1

We will now calculate the prime factors of 59339 and 59351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59339 and 59351.

How to find the GCF of 59339 and 59351?

We will first find the prime factorization of 59339 and 59351. After we will calculate the factors of 59339 and 59351 and find the biggest common factor number .

Step-1: Prime Factorization of 59339

Prime factors of 59339 are 7, 173. Prime factorization of 59339 in exponential form is:

59339 = 7³ × 173¹

Step-2: Prime Factorization of 59351

Prime factors of 59351 are 59351. Prime factorization of 59351 in exponential form is:

59351 = 59351¹

Step-3: Factors of 59339

List of positive integer factors of 59339 that divides 59339 without a remainder.

1, 7, 49, 173, 343, 1211, 8477

Step-4: Factors of 59351

List of positive integer factors of 59351 that divides 59339 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59339 and 59351. The biggest common factor number is the GCF number.
So the greatest common factor 59339 and 59351 is 1.

Also check out the Least Common Multiple of 59339 and 59351