What is the Greatest Common Factor of 75285 and 75295?

Greatest common factor (GCF) of 75285 and 75295 is 5.

GCF(75285,75295) = 5

We will now calculate the prime factors of 75285 and 75295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75285 and 75295.

How to find the GCF of 75285 and 75295?

We will first find the prime factorization of 75285 and 75295. After we will calculate the factors of 75285 and 75295 and find the biggest common factor number .

Step-1: Prime Factorization of 75285

Prime factors of 75285 are 3, 5, 7, 239. Prime factorization of 75285 in exponential form is:

75285 = 3² × 5¹ × 7¹ × 239¹

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 75285

List of positive integer factors of 75285 that divides 75285 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 239, 315, 717, 1195, 1673, 2151, 3585, 5019, 8365, 10755, 15057, 25095

Step-4: Factors of 75295

List of positive integer factors of 75295 that divides 75285 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 75285 and 75295. The biggest common factor number is the GCF number.
So the greatest common factor 75285 and 75295 is 5.

Also check out the Least Common Multiple of 75285 and 75295