What is the Greatest Common Factor of 75357 and 75371?

Greatest common factor (GCF) of 75357 and 75371 is 1.

GCF(75357,75371) = 1

We will now calculate the prime factors of 75357 and 75371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75357 and 75371.

How to find the GCF of 75357 and 75371?

We will first find the prime factorization of 75357 and 75371. After we will calculate the factors of 75357 and 75371 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 75371

Prime factors of 75371 are 23, 29, 113. Prime factorization of 75371 in exponential form is:

75371 = 23¹ × 29¹ × 113¹

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 75371

List of positive integer factors of 75371 that divides 75357 without a remainder.

1, 23, 29, 113, 667, 2599, 3277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75357 and 75371. The biggest common factor number is the GCF number.
So the greatest common factor 75357 and 75371 is 1.

Also check out the Least Common Multiple of 75357 and 75371