What is the Greatest Common Factor of 69267 and 69285?

Greatest common factor (GCF) of 69267 and 69285 is 3.

GCF(69267,69285) = 3

We will now calculate the prime factors of 69267 and 69285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69267 and 69285.

How to find the GCF of 69267 and 69285?

We will first find the prime factorization of 69267 and 69285. After we will calculate the factors of 69267 and 69285 and find the biggest common factor number .

Step-1: Prime Factorization of 69267

Prime factors of 69267 are 3, 11, 2099. Prime factorization of 69267 in exponential form is:

69267 = 3¹ × 11¹ × 2099¹

Step-2: Prime Factorization of 69285

Prime factors of 69285 are 3, 5, 31, 149. Prime factorization of 69285 in exponential form is:

69285 = 3¹ × 5¹ × 31¹ × 149¹

Step-3: Factors of 69267

List of positive integer factors of 69267 that divides 69267 without a remainder.

1, 3, 11, 33, 2099, 6297, 23089

Step-4: Factors of 69285

List of positive integer factors of 69285 that divides 69267 without a remainder.

1, 3, 5, 15, 31, 93, 149, 155, 447, 465, 745, 2235, 4619, 13857, 23095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69267 and 69285. The biggest common factor number is the GCF number.
So the greatest common factor 69267 and 69285 is 3.

Also check out the Least Common Multiple of 69267 and 69285