What is the Greatest Common Factor of 69345 and 69351?

Greatest common factor (GCF) of 69345 and 69351 is 3.

GCF(69345,69351) = 3

We will now calculate the prime factors of 69345 and 69351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69345 and 69351.

How to find the GCF of 69345 and 69351?

We will first find the prime factorization of 69345 and 69351. After we will calculate the factors of 69345 and 69351 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 69351

Prime factors of 69351 are 3, 23117. Prime factorization of 69351 in exponential form is:

69351 = 3¹ × 23117¹

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 69351

List of positive integer factors of 69351 that divides 69345 without a remainder.

1, 3, 23117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69345 and 69351. The biggest common factor number is the GCF number.
So the greatest common factor 69345 and 69351 is 3.

Also check out the Least Common Multiple of 69345 and 69351