What is the Greatest Common Factor of 61059 and 61077?

Greatest common factor (GCF) of 61059 and 61077 is 3.

GCF(61059,61077) = 3

We will now calculate the prime factors of 61059 and 61077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61059 and 61077.

How to find the GCF of 61059 and 61077?

We will first find the prime factorization of 61059 and 61077. After we will calculate the factors of 61059 and 61077 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 61077

Prime factors of 61077 are 3, 20359. Prime factorization of 61077 in exponential form is:

61077 = 3¹ × 20359¹

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 61077

List of positive integer factors of 61077 that divides 61059 without a remainder.

1, 3, 20359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61059 and 61077. The biggest common factor number is the GCF number.
So the greatest common factor 61059 and 61077 is 3.

Also check out the Least Common Multiple of 61059 and 61077