What is the Greatest Common Factor of 75289 and 75295?

Greatest common factor (GCF) of 75289 and 75295 is 1.

GCF(75289,75295) = 1

We will now calculate the prime factors of 75289 and 75295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75289 and 75295.

How to find the GCF of 75289 and 75295?

We will first find the prime factorization of 75289 and 75295. After we will calculate the factors of 75289 and 75295 and find the biggest common factor number .

Step-1: Prime Factorization of 75289

Prime factors of 75289 are 75289. Prime factorization of 75289 in exponential form is:

75289 = 75289¹

Step-2: 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-3: Factors of 75289

List of positive integer factors of 75289 that divides 75289 without a remainder.

Step-4: Factors of 75295

List of positive integer factors of 75295 that divides 75289 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75289 and 75295. The biggest common factor number is the GCF number.
So the greatest common factor 75289 and 75295 is 1.

Also check out the Least Common Multiple of 75289 and 75295