What is the Greatest Common Factor of 88209 and 88214?

Greatest common factor (GCF) of 88209 and 88214 is 1.

GCF(88209,88214) = 1

We will now calculate the prime factors of 88209 and 88214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88209 and 88214.

How to find the GCF of 88209 and 88214?

We will first find the prime factorization of 88209 and 88214. After we will calculate the factors of 88209 and 88214 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 88214

Prime factors of 88214 are 2, 7, 6301. Prime factorization of 88214 in exponential form is:

88214 = 2¹ × 7¹ × 6301¹

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 88214

List of positive integer factors of 88214 that divides 88209 without a remainder.

1, 2, 7, 14, 6301, 12602, 44107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88209 and 88214. The biggest common factor number is the GCF number.
So the greatest common factor 88209 and 88214 is 1.

Also check out the Least Common Multiple of 88209 and 88214