What is the Greatest Common Factor of 75293 and 75305?

Greatest common factor (GCF) of 75293 and 75305 is 1.

GCF(75293,75305) = 1

We will now calculate the prime factors of 75293 and 75305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75293 and 75305.

How to find the GCF of 75293 and 75305?

We will first find the prime factorization of 75293 and 75305. After we will calculate the factors of 75293 and 75305 and find the biggest common factor number .

Step-1: Prime Factorization of 75293

Prime factors of 75293 are 17, 43, 103. Prime factorization of 75293 in exponential form is:

75293 = 17¹ × 43¹ × 103¹

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 75293

List of positive integer factors of 75293 that divides 75293 without a remainder.

1, 17, 43, 103, 731, 1751, 4429

Step-4: Factors of 75305

List of positive integer factors of 75305 that divides 75293 without a remainder.

1, 5, 15061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75293 and 75305. The biggest common factor number is the GCF number.
So the greatest common factor 75293 and 75305 is 1.

Also check out the Least Common Multiple of 75293 and 75305