What is the Greatest Common Factor of 69345 and 69357?

Greatest common factor (GCF) of 69345 and 69357 is 3.

GCF(69345,69357) = 3

We will now calculate the prime factors of 69345 and 69357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69345 and 69357.

How to find the GCF of 69345 and 69357?

We will first find the prime factorization of 69345 and 69357. After we will calculate the factors of 69345 and 69357 and find the biggest common factor number .

Step-1: Prime Factorization of 69345

Prime factors of 69345 are 3, 5, 23, 67. Prime factorization of 69345 in exponential form is:

69345 = 3² × 5¹ × 23¹ × 67¹

Step-2: 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-3: Factors of 69345

List of positive integer factors of 69345 that divides 69345 without a remainder.

1, 3, 5, 9, 15, 23, 45, 67, 69, 115, 201, 207, 335, 345, 603, 1005, 1035, 1541, 3015, 4623, 7705, 13869, 23115

Step-4: Factors of 69357

List of positive integer factors of 69357 that divides 69345 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69345 and 69357. The biggest common factor number is the GCF number.
So the greatest common factor 69345 and 69357 is 3.

Also check out the Least Common Multiple of 69345 and 69357