What is the Greatest Common Factor of 69285 and 69303?

Greatest common factor (GCF) of 69285 and 69303 is 3.

GCF(69285,69303) = 3

We will now calculate the prime factors of 69285 and 69303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69285 and 69303.

How to find the GCF of 69285 and 69303?

We will first find the prime factorization of 69285 and 69303. After we will calculate the factors of 69285 and 69303 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69303

Prime factors of 69303 are 3, 13, 1777. Prime factorization of 69303 in exponential form is:

69303 = 3¹ × 13¹ × 1777¹

Step-3: Factors of 69285

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

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

Step-4: Factors of 69303

List of positive integer factors of 69303 that divides 69285 without a remainder.

1, 3, 13, 39, 1777, 5331, 23101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69285 and 69303. The biggest common factor number is the GCF number.
So the greatest common factor 69285 and 69303 is 3.

Also check out the Least Common Multiple of 69285 and 69303