What is the Greatest Common Factor of 59056 and 59071?

Greatest common factor (GCF) of 59056 and 59071 is 1.

GCF(59056,59071) = 1

We will now calculate the prime factors of 59056 and 59071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59056 and 59071.

How to find the GCF of 59056 and 59071?

We will first find the prime factorization of 59056 and 59071. After we will calculate the factors of 59056 and 59071 and find the biggest common factor number .

Step-1: Prime Factorization of 59056

Prime factors of 59056 are 2, 3691. Prime factorization of 59056 in exponential form is:

59056 = 2⁴ × 3691¹

Step-2: Prime Factorization of 59071

Prime factors of 59071 are 19, 3109. Prime factorization of 59071 in exponential form is:

59071 = 19¹ × 3109¹

Step-3: Factors of 59056

List of positive integer factors of 59056 that divides 59056 without a remainder.

1, 2, 4, 8, 16, 3691, 7382, 14764, 29528

Step-4: Factors of 59071

List of positive integer factors of 59071 that divides 59056 without a remainder.

1, 19, 3109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59056 and 59071. The biggest common factor number is the GCF number.
So the greatest common factor 59056 and 59071 is 1.

Also check out the Least Common Multiple of 59056 and 59071