What is the Greatest Common Factor of 55209 and 55226?

Greatest common factor (GCF) of 55209 and 55226 is 1.

GCF(55209,55226) = 1

We will now calculate the prime factors of 55209 and 55226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55209 and 55226.

How to find the GCF of 55209 and 55226?

We will first find the prime factorization of 55209 and 55226. After we will calculate the factors of 55209 and 55226 and find the biggest common factor number .

Step-1: Prime Factorization of 55209

Prime factors of 55209 are 3, 7, 11, 239. Prime factorization of 55209 in exponential form is:

55209 = 3¹ × 7¹ × 11¹ × 239¹

Step-2: Prime Factorization of 55226

Prime factors of 55226 are 2, 53, 521. Prime factorization of 55226 in exponential form is:

55226 = 2¹ × 53¹ × 521¹

Step-3: Factors of 55209

List of positive integer factors of 55209 that divides 55209 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 239, 717, 1673, 2629, 5019, 7887, 18403

Step-4: Factors of 55226

List of positive integer factors of 55226 that divides 55209 without a remainder.

1, 2, 53, 106, 521, 1042, 27613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55209 and 55226. The biggest common factor number is the GCF number.
So the greatest common factor 55209 and 55226 is 1.

Also check out the Least Common Multiple of 55209 and 55226