What is the Greatest Common Factor of 69201 and 69209?

Greatest common factor (GCF) of 69201 and 69209 is 1.

GCF(69201,69209) = 1

We will now calculate the prime factors of 69201 and 69209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69201 and 69209.

How to find the GCF of 69201 and 69209?

We will first find the prime factorization of 69201 and 69209. After we will calculate the factors of 69201 and 69209 and find the biggest common factor number .

Step-1: Prime Factorization of 69201

Prime factors of 69201 are 3, 11, 233. Prime factorization of 69201 in exponential form is:

69201 = 3³ × 11¹ × 233¹

Step-2: Prime Factorization of 69209

Prime factors of 69209 are 7, 9887. Prime factorization of 69209 in exponential form is:

69209 = 7¹ × 9887¹

Step-3: Factors of 69201

List of positive integer factors of 69201 that divides 69201 without a remainder.

1, 3, 9, 11, 27, 33, 99, 233, 297, 699, 2097, 2563, 6291, 7689, 23067

Step-4: Factors of 69209

List of positive integer factors of 69209 that divides 69201 without a remainder.

1, 7, 9887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69201 and 69209. The biggest common factor number is the GCF number.
So the greatest common factor 69201 and 69209 is 1.

Also check out the Least Common Multiple of 69201 and 69209