What is the Greatest Common Factor of 59169 and 59180?

Greatest common factor (GCF) of 59169 and 59180 is 11.

GCF(59169,59180) = 11

We will now calculate the prime factors of 59169 and 59180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59169 and 59180.

How to find the GCF of 59169 and 59180?

We will first find the prime factorization of 59169 and 59180. After we will calculate the factors of 59169 and 59180 and find the biggest common factor number .

Step-1: Prime Factorization of 59169

Prime factors of 59169 are 3, 11, 163. Prime factorization of 59169 in exponential form is:

59169 = 3¹ × 11² × 163¹

Step-2: Prime Factorization of 59180

Prime factors of 59180 are 2, 5, 11, 269. Prime factorization of 59180 in exponential form is:

59180 = 2² × 5¹ × 11¹ × 269¹

Step-3: Factors of 59169

List of positive integer factors of 59169 that divides 59169 without a remainder.

1, 3, 11, 33, 121, 163, 363, 489, 1793, 5379, 19723

Step-4: Factors of 59180

List of positive integer factors of 59180 that divides 59169 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 269, 538, 1076, 1345, 2690, 2959, 5380, 5918, 11836, 14795, 29590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59169 and 59180. The biggest common factor number is the GCF number.
So the greatest common factor 59169 and 59180 is 11.

Also check out the Least Common Multiple of 59169 and 59180