What is the Greatest Common Factor of 53205 and 53209?

Greatest common factor (GCF) of 53205 and 53209 is 1.

GCF(53205,53209) = 1

We will now calculate the prime factors of 53205 and 53209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53205 and 53209.

How to find the GCF of 53205 and 53209?

We will first find the prime factorization of 53205 and 53209. After we will calculate the factors of 53205 and 53209 and find the biggest common factor number .

Step-1: Prime Factorization of 53205

Prime factors of 53205 are 3, 5, 3547. Prime factorization of 53205 in exponential form is:

53205 = 3¹ × 5¹ × 3547¹

Step-2: Prime Factorization of 53209

Prime factors of 53209 are 13, 4093. Prime factorization of 53209 in exponential form is:

53209 = 13¹ × 4093¹

Step-3: Factors of 53205

List of positive integer factors of 53205 that divides 53205 without a remainder.

1, 3, 5, 15, 3547, 10641, 17735

Step-4: Factors of 53209

List of positive integer factors of 53209 that divides 53205 without a remainder.

1, 13, 4093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53205 and 53209. The biggest common factor number is the GCF number.
So the greatest common factor 53205 and 53209 is 1.

Also check out the Least Common Multiple of 53205 and 53209