What is the Greatest Common Factor of 75068 and 75082?

Greatest common factor (GCF) of 75068 and 75082 is 14.

GCF(75068,75082) = 14

We will now calculate the prime factors of 75068 and 75082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75068 and 75082.

How to find the GCF of 75068 and 75082?

We will first find the prime factorization of 75068 and 75082. After we will calculate the factors of 75068 and 75082 and find the biggest common factor number .

Step-1: Prime Factorization of 75068

Prime factors of 75068 are 2, 7, 383. Prime factorization of 75068 in exponential form is:

75068 = 2² × 7² × 383¹

Step-2: 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-3: Factors of 75068

List of positive integer factors of 75068 that divides 75068 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 383, 766, 1532, 2681, 5362, 10724, 18767, 37534

Step-4: Factors of 75082

List of positive integer factors of 75082 that divides 75068 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75068 and 75082. The biggest common factor number is the GCF number.
So the greatest common factor 75068 and 75082 is 14.

Also check out the Least Common Multiple of 75068 and 75082