What is the Greatest Common Factor of 75285 and 75302?

Greatest common factor (GCF) of 75285 and 75302 is 1.

GCF(75285,75302) = 1

We will now calculate the prime factors of 75285 and 75302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75285 and 75302.

How to find the GCF of 75285 and 75302?

We will first find the prime factorization of 75285 and 75302. After we will calculate the factors of 75285 and 75302 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 75302

Prime factors of 75302 are 2, 23, 1637. Prime factorization of 75302 in exponential form is:

75302 = 2¹ × 23¹ × 1637¹

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 75302

List of positive integer factors of 75302 that divides 75285 without a remainder.

1, 2, 23, 46, 1637, 3274, 37651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75285 and 75302. The biggest common factor number is the GCF number.
So the greatest common factor 75285 and 75302 is 1.

Also check out the Least Common Multiple of 75285 and 75302