What is the Greatest Common Factor of 73126 and 73144?

Greatest common factor (GCF) of 73126 and 73144 is 2.

GCF(73126,73144) = 2

We will now calculate the prime factors of 73126 and 73144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73126 and 73144.

How to find the GCF of 73126 and 73144?

We will first find the prime factorization of 73126 and 73144. After we will calculate the factors of 73126 and 73144 and find the biggest common factor number .

Step-1: Prime Factorization of 73126

Prime factors of 73126 are 2, 36563. Prime factorization of 73126 in exponential form is:

73126 = 2¹ × 36563¹

Step-2: Prime Factorization of 73144

Prime factors of 73144 are 2, 41, 223. Prime factorization of 73144 in exponential form is:

73144 = 2³ × 41¹ × 223¹

Step-3: Factors of 73126

List of positive integer factors of 73126 that divides 73126 without a remainder.

1, 2, 36563

Step-4: Factors of 73144

List of positive integer factors of 73144 that divides 73126 without a remainder.

1, 2, 4, 8, 41, 82, 164, 223, 328, 446, 892, 1784, 9143, 18286, 36572

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73126 and 73144. The biggest common factor number is the GCF number.
So the greatest common factor 73126 and 73144 is 2.

Also check out the Least Common Multiple of 73126 and 73144