What is the Greatest Common Factor of 55209 and 55225?

Greatest common factor (GCF) of 55209 and 55225 is 1.

GCF(55209,55225) = 1

We will now calculate the prime factors of 55209 and 55225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55209 and 55225.

How to find the GCF of 55209 and 55225?

We will first find the prime factorization of 55209 and 55225. After we will calculate the factors of 55209 and 55225 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 55225

Prime factors of 55225 are 5, 47. Prime factorization of 55225 in exponential form is:

55225 = 5² × 47²

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 55225

List of positive integer factors of 55225 that divides 55209 without a remainder.

1, 5, 25, 47, 235, 1175, 2209, 11045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55209 and 55225. The biggest common factor number is the GCF number.
So the greatest common factor 55209 and 55225 is 1.

Also check out the Least Common Multiple of 55209 and 55225