What is the Greatest Common Factor of 75357 and 75369?

Greatest common factor (GCF) of 75357 and 75369 is 3.

GCF(75357,75369) = 3

We will now calculate the prime factors of 75357 and 75369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75357 and 75369.

How to find the GCF of 75357 and 75369?

We will first find the prime factorization of 75357 and 75369. After we will calculate the factors of 75357 and 75369 and find the biggest common factor number .

Step-1: Prime Factorization of 75357

Prime factors of 75357 are 3, 2791. Prime factorization of 75357 in exponential form is:

75357 = 3³ × 2791¹

Step-2: Prime Factorization of 75369

Prime factors of 75369 are 3, 7, 37, 97. Prime factorization of 75369 in exponential form is:

75369 = 3¹ × 7¹ × 37¹ × 97¹

Step-3: Factors of 75357

List of positive integer factors of 75357 that divides 75357 without a remainder.

1, 3, 9, 27, 2791, 8373, 25119

Step-4: Factors of 75369

List of positive integer factors of 75369 that divides 75357 without a remainder.

1, 3, 7, 21, 37, 97, 111, 259, 291, 679, 777, 2037, 3589, 10767, 25123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75357 and 75369. The biggest common factor number is the GCF number.
So the greatest common factor 75357 and 75369 is 3.

Also check out the Least Common Multiple of 75357 and 75369