What is the Greatest Common Factor of 75295 and 75304?

Greatest common factor (GCF) of 75295 and 75304 is 1.

GCF(75295,75304) = 1

We will now calculate the prime factors of 75295 and 75304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75295 and 75304.

How to find the GCF of 75295 and 75304?

We will first find the prime factorization of 75295 and 75304. After we will calculate the factors of 75295 and 75304 and find the biggest common factor number .

Step-1: Prime Factorization of 75295

Prime factors of 75295 are 5, 11, 37. Prime factorization of 75295 in exponential form is:

75295 = 5¹ × 11¹ × 37²

Step-2: Prime Factorization of 75304

Prime factors of 75304 are 2, 9413. Prime factorization of 75304 in exponential form is:

75304 = 2³ × 9413¹

Step-3: Factors of 75295

List of positive integer factors of 75295 that divides 75295 without a remainder.

1, 5, 11, 37, 55, 185, 407, 1369, 2035, 6845, 15059

Step-4: Factors of 75304

List of positive integer factors of 75304 that divides 75295 without a remainder.

1, 2, 4, 8, 9413, 18826, 37652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75295 and 75304. The biggest common factor number is the GCF number.
So the greatest common factor 75295 and 75304 is 1.

Also check out the Least Common Multiple of 75295 and 75304