What is the Greatest Common Factor of 75297 and 75305?

Greatest common factor (GCF) of 75297 and 75305 is 1.

GCF(75297,75305) = 1

We will now calculate the prime factors of 75297 and 75305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75297 and 75305.

How to find the GCF of 75297 and 75305?

We will first find the prime factorization of 75297 and 75305. After we will calculate the factors of 75297 and 75305 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 75305

Prime factors of 75305 are 5, 15061. Prime factorization of 75305 in exponential form is:

75305 = 5¹ × 15061¹

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 75305

List of positive integer factors of 75305 that divides 75297 without a remainder.

1, 5, 15061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75297 and 75305. The biggest common factor number is the GCF number.
So the greatest common factor 75297 and 75305 is 1.

Also check out the Least Common Multiple of 75297 and 75305