What is the Greatest Common Factor of 88209 and 88213?

Greatest common factor (GCF) of 88209 and 88213 is 1.

GCF(88209,88213) = 1

We will now calculate the prime factors of 88209 and 88213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88209 and 88213.

How to find the GCF of 88209 and 88213?

We will first find the prime factorization of 88209 and 88213. After we will calculate the factors of 88209 and 88213 and find the biggest common factor number .

Step-1: Prime Factorization of 88209

Prime factors of 88209 are 3, 11. Prime factorization of 88209 in exponential form is:

88209 = 3⁶ × 11²

Step-2: Prime Factorization of 88213

Prime factors of 88213 are 17, 5189. Prime factorization of 88213 in exponential form is:

88213 = 17¹ × 5189¹

Step-3: Factors of 88209

List of positive integer factors of 88209 that divides 88209 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 121, 243, 297, 363, 729, 891, 1089, 2673, 3267, 8019, 9801, 29403

Step-4: Factors of 88213

List of positive integer factors of 88213 that divides 88209 without a remainder.

1, 17, 5189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88209 and 88213. The biggest common factor number is the GCF number.
So the greatest common factor 88209 and 88213 is 1.

Also check out the Least Common Multiple of 88209 and 88213