What is the Greatest Common Factor of 53209 and 53226?

Greatest common factor (GCF) of 53209 and 53226 is 1.

GCF(53209,53226) = 1

We will now calculate the prime factors of 53209 and 53226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53209 and 53226.

How to find the GCF of 53209 and 53226?

We will first find the prime factorization of 53209 and 53226. After we will calculate the factors of 53209 and 53226 and find the biggest common factor number .

Step-1: Prime Factorization of 53209

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

53209 = 13¹ × 4093¹

Step-2: Prime Factorization of 53226

Prime factors of 53226 are 2, 3, 2957. Prime factorization of 53226 in exponential form is:

53226 = 2¹ × 3² × 2957¹

Step-3: Factors of 53209

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

1, 13, 4093

Step-4: Factors of 53226

List of positive integer factors of 53226 that divides 53209 without a remainder.

1, 2, 3, 6, 9, 18, 2957, 5914, 8871, 17742, 26613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53209 and 53226. The biggest common factor number is the GCF number.
So the greatest common factor 53209 and 53226 is 1.

Also check out the Least Common Multiple of 53209 and 53226