What is the Greatest Common Factor of 69189 and 69201?

Greatest common factor (GCF) of 69189 and 69201 is 3.

GCF(69189,69201) = 3

We will now calculate the prime factors of 69189 and 69201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69189 and 69201.

How to find the GCF of 69189 and 69201?

We will first find the prime factorization of 69189 and 69201. After we will calculate the factors of 69189 and 69201 and find the biggest common factor number .

Step-1: Prime Factorization of 69189

Prime factors of 69189 are 3, 23063. Prime factorization of 69189 in exponential form is:

69189 = 3¹ × 23063¹

Step-2: 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-3: Factors of 69189

List of positive integer factors of 69189 that divides 69189 without a remainder.

1, 3, 23063

Step-4: Factors of 69201

List of positive integer factors of 69201 that divides 69189 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69189 and 69201. The biggest common factor number is the GCF number.
So the greatest common factor 69189 and 69201 is 3.

Also check out the Least Common Multiple of 69189 and 69201