What is the Greatest Common Factor of 75297 and 75313?

Greatest common factor (GCF) of 75297 and 75313 is 1.

GCF(75297,75313) = 1

We will now calculate the prime factors of 75297 and 75313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75297 and 75313.

How to find the GCF of 75297 and 75313?

We will first find the prime factorization of 75297 and 75313. After we will calculate the factors of 75297 and 75313 and find the biggest common factor number .

Step-1: Prime Factorization of 75297

Prime factors of 75297 are 3, 19, 1321. Prime factorization of 75297 in exponential form is:

75297 = 3¹ × 19¹ × 1321¹

Step-2: Prime Factorization of 75313

Prime factors of 75313 are 7, 29, 53. Prime factorization of 75313 in exponential form is:

75313 = 7² × 29¹ × 53¹

Step-3: Factors of 75297

List of positive integer factors of 75297 that divides 75297 without a remainder.

1, 3, 19, 57, 1321, 3963, 25099

Step-4: Factors of 75313

List of positive integer factors of 75313 that divides 75297 without a remainder.

1, 7, 29, 49, 53, 203, 371, 1421, 1537, 2597, 10759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75297 and 75313. The biggest common factor number is the GCF number.
So the greatest common factor 75297 and 75313 is 1.

Also check out the Least Common Multiple of 75297 and 75313