What is the Greatest Common Factor of 75293 and 75310?

Greatest common factor (GCF) of 75293 and 75310 is 17.

GCF(75293,75310) = 17

We will now calculate the prime factors of 75293 and 75310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75293 and 75310.

How to find the GCF of 75293 and 75310?

We will first find the prime factorization of 75293 and 75310. After we will calculate the factors of 75293 and 75310 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 75310

Prime factors of 75310 are 2, 5, 17, 443. Prime factorization of 75310 in exponential form is:

75310 = 2¹ × 5¹ × 17¹ × 443¹

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 75310

List of positive integer factors of 75310 that divides 75293 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 443, 886, 2215, 4430, 7531, 15062, 37655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75293 and 75310. The biggest common factor number is the GCF number.
So the greatest common factor 75293 and 75310 is 17.

Also check out the Least Common Multiple of 75293 and 75310