What is the Greatest Common Factor of 7059 and 7077?

Greatest common factor (GCF) of 7059 and 7077 is 3.

GCF(7059,7077) = 3

We will now calculate the prime factors of 7059 and 7077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7059 and 7077.

How to find the GCF of 7059 and 7077?

We will first find the prime factorization of 7059 and 7077. After we will calculate the factors of 7059 and 7077 and find the biggest common factor number .

Step-1: Prime Factorization of 7059

Prime factors of 7059 are 3, 13, 181. Prime factorization of 7059 in exponential form is:

7059 = 3¹ × 13¹ × 181¹

Step-2: Prime Factorization of 7077

Prime factors of 7077 are 3, 7, 337. Prime factorization of 7077 in exponential form is:

7077 = 3¹ × 7¹ × 337¹

Step-3: Factors of 7059

List of positive integer factors of 7059 that divides 7059 without a remainder.

1, 3, 13, 39, 181, 543, 2353

Step-4: Factors of 7077

List of positive integer factors of 7077 that divides 7059 without a remainder.

1, 3, 7, 21, 337, 1011, 2359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7059 and 7077. The biggest common factor number is the GCF number.
So the greatest common factor 7059 and 7077 is 3.

Also check out the Least Common Multiple of 7059 and 7077