What is the Greatest Common Factor of 69285 and 69299?

Greatest common factor (GCF) of 69285 and 69299 is 1.

GCF(69285,69299) = 1

We will now calculate the prime factors of 69285 and 69299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69285 and 69299.

How to find the GCF of 69285 and 69299?

We will first find the prime factorization of 69285 and 69299. After we will calculate the factors of 69285 and 69299 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 69299

Prime factors of 69299 are 23, 131. Prime factorization of 69299 in exponential form is:

69299 = 23² × 131¹

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 69299

List of positive integer factors of 69299 that divides 69285 without a remainder.

1, 23, 131, 529, 3013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69285 and 69299. The biggest common factor number is the GCF number.
So the greatest common factor 69285 and 69299 is 1.

Also check out the Least Common Multiple of 69285 and 69299