What is the Greatest Common Factor of 69270 and 69285?

Greatest common factor (GCF) of 69270 and 69285 is 15.

GCF(69270,69285) = 15

We will now calculate the prime factors of 69270 and 69285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69270 and 69285.

How to find the GCF of 69270 and 69285?

We will first find the prime factorization of 69270 and 69285. After we will calculate the factors of 69270 and 69285 and find the biggest common factor number .

Step-1: Prime Factorization of 69270

Prime factors of 69270 are 2, 3, 5, 2309. Prime factorization of 69270 in exponential form is:

69270 = 2¹ × 3¹ × 5¹ × 2309¹

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 69270

List of positive integer factors of 69270 that divides 69270 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2309, 4618, 6927, 11545, 13854, 23090, 34635

Step-4: Factors of 69285

List of positive integer factors of 69285 that divides 69270 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 69270 and 69285. The biggest common factor number is the GCF number.
So the greatest common factor 69270 and 69285 is 15.

Also check out the Least Common Multiple of 69270 and 69285