What is the Greatest Common Factor of 88209 and 88221?

Greatest common factor (GCF) of 88209 and 88221 is 3.

GCF(88209,88221) = 3

We will now calculate the prime factors of 88209 and 88221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88209 and 88221.

How to find the GCF of 88209 and 88221?

We will first find the prime factorization of 88209 and 88221. After we will calculate the factors of 88209 and 88221 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 88221

Prime factors of 88221 are 3, 7, 4201. Prime factorization of 88221 in exponential form is:

88221 = 3¹ × 7¹ × 4201¹

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 88221

List of positive integer factors of 88221 that divides 88209 without a remainder.

1, 3, 7, 21, 4201, 12603, 29407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88209 and 88221. The biggest common factor number is the GCF number.
So the greatest common factor 88209 and 88221 is 3.

Also check out the Least Common Multiple of 88209 and 88221