What is the Greatest Common Factor of 69357 and 69363?

Greatest common factor (GCF) of 69357 and 69363 is 3.

GCF(69357,69363) = 3

We will now calculate the prime factors of 69357 and 69363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69357 and 69363.

How to find the GCF of 69357 and 69363?

We will first find the prime factorization of 69357 and 69363. After we will calculate the factors of 69357 and 69363 and find the biggest common factor number .

Step-1: Prime Factorization of 69357

Prime factors of 69357 are 3, 61, 379. Prime factorization of 69357 in exponential form is:

69357 = 3¹ × 61¹ × 379¹

Step-2: Prime Factorization of 69363

Prime factors of 69363 are 3, 7, 367. Prime factorization of 69363 in exponential form is:

69363 = 3³ × 7¹ × 367¹

Step-3: Factors of 69357

List of positive integer factors of 69357 that divides 69357 without a remainder.

1, 3, 61, 183, 379, 1137, 23119

Step-4: Factors of 69363

List of positive integer factors of 69363 that divides 69357 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 367, 1101, 2569, 3303, 7707, 9909, 23121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69357 and 69363. The biggest common factor number is the GCF number.
So the greatest common factor 69357 and 69363 is 3.

Also check out the Least Common Multiple of 69357 and 69363