What is the Greatest Common Factor of 75291 and 75295?

Greatest common factor (GCF) of 75291 and 75295 is 1.

GCF(75291,75295) = 1

We will now calculate the prime factors of 75291 and 75295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75291 and 75295.

How to find the GCF of 75291 and 75295?

We will first find the prime factorization of 75291 and 75295. After we will calculate the factors of 75291 and 75295 and find the biggest common factor number .

Step-1: Prime Factorization of 75291

Prime factors of 75291 are 3, 25097. Prime factorization of 75291 in exponential form is:

75291 = 3¹ × 25097¹

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 75291

List of positive integer factors of 75291 that divides 75291 without a remainder.

1, 3, 25097

Step-4: Factors of 75295

List of positive integer factors of 75295 that divides 75291 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 75291 and 75295. The biggest common factor number is the GCF number.
So the greatest common factor 75291 and 75295 is 1.

Also check out the Least Common Multiple of 75291 and 75295