What is the Greatest Common Factor of 61059 and 61071?

Greatest common factor (GCF) of 61059 and 61071 is 3.

GCF(61059,61071) = 3

We will now calculate the prime factors of 61059 and 61071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61059 and 61071.

How to find the GCF of 61059 and 61071?

We will first find the prime factorization of 61059 and 61071. After we will calculate the factors of 61059 and 61071 and find the biggest common factor number .

Step-1: Prime Factorization of 61059

Prime factors of 61059 are 3, 20353. Prime factorization of 61059 in exponential form is:

61059 = 3¹ × 20353¹

Step-2: Prime Factorization of 61071

Prime factors of 61071 are 3, 20357. Prime factorization of 61071 in exponential form is:

61071 = 3¹ × 20357¹

Step-3: Factors of 61059

List of positive integer factors of 61059 that divides 61059 without a remainder.

1, 3, 20353

Step-4: Factors of 61071

List of positive integer factors of 61071 that divides 61059 without a remainder.

1, 3, 20357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61059 and 61071. The biggest common factor number is the GCF number.
So the greatest common factor 61059 and 61071 is 3.

Also check out the Least Common Multiple of 61059 and 61071