What is the Greatest Common Factor of 75259 and 75278?

Greatest common factor (GCF) of 75259 and 75278 is 19.

GCF(75259,75278) = 19

We will now calculate the prime factors of 75259 and 75278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75259 and 75278.

How to find the GCF of 75259 and 75278?

We will first find the prime factorization of 75259 and 75278. After we will calculate the factors of 75259 and 75278 and find the biggest common factor number .

Step-1: Prime Factorization of 75259

Prime factors of 75259 are 17, 19, 233. Prime factorization of 75259 in exponential form is:

75259 = 17¹ × 19¹ × 233¹

Step-2: Prime Factorization of 75278

Prime factors of 75278 are 2, 7, 19, 283. Prime factorization of 75278 in exponential form is:

75278 = 2¹ × 7¹ × 19¹ × 283¹

Step-3: Factors of 75259

List of positive integer factors of 75259 that divides 75259 without a remainder.

1, 17, 19, 233, 323, 3961, 4427

Step-4: Factors of 75278

List of positive integer factors of 75278 that divides 75259 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 283, 566, 1981, 3962, 5377, 10754, 37639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75259 and 75278. The biggest common factor number is the GCF number.
So the greatest common factor 75259 and 75278 is 19.

Also check out the Least Common Multiple of 75259 and 75278