What is the Greatest Common Factor of 75082 and 75099?

Greatest common factor (GCF) of 75082 and 75099 is 1.

GCF(75082,75099) = 1

We will now calculate the prime factors of 75082 and 75099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75082 and 75099.

How to find the GCF of 75082 and 75099?

We will first find the prime factorization of 75082 and 75099. After we will calculate the factors of 75082 and 75099 and find the biggest common factor number .

Step-1: Prime Factorization of 75082

Prime factors of 75082 are 2, 7, 31, 173. Prime factorization of 75082 in exponential form is:

75082 = 2¹ × 7¹ × 31¹ × 173¹

Step-2: Prime Factorization of 75099

Prime factors of 75099 are 3, 25033. Prime factorization of 75099 in exponential form is:

75099 = 3¹ × 25033¹

Step-3: Factors of 75082

List of positive integer factors of 75082 that divides 75082 without a remainder.

1, 2, 7, 14, 31, 62, 173, 217, 346, 434, 1211, 2422, 5363, 10726, 37541

Step-4: Factors of 75099

List of positive integer factors of 75099 that divides 75082 without a remainder.

1, 3, 25033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75082 and 75099. The biggest common factor number is the GCF number.
So the greatest common factor 75082 and 75099 is 1.

Also check out the Least Common Multiple of 75082 and 75099