What is the Greatest Common Factor of 72806 and 72814?

Greatest common factor (GCF) of 72806 and 72814 is 2.

GCF(72806,72814) = 2

We will now calculate the prime factors of 72806 and 72814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72806 and 72814.

How to find the GCF of 72806 and 72814?

We will first find the prime factorization of 72806 and 72814. After we will calculate the factors of 72806 and 72814 and find the biggest common factor number .

Step-1: Prime Factorization of 72806

Prime factors of 72806 are 2, 59, 617. Prime factorization of 72806 in exponential form is:

72806 = 2¹ × 59¹ × 617¹

Step-2: Prime Factorization of 72814

Prime factors of 72814 are 2, 7, 743. Prime factorization of 72814 in exponential form is:

72814 = 2¹ × 7² × 743¹

Step-3: Factors of 72806

List of positive integer factors of 72806 that divides 72806 without a remainder.

1, 2, 59, 118, 617, 1234, 36403

Step-4: Factors of 72814

List of positive integer factors of 72814 that divides 72806 without a remainder.

1, 2, 7, 14, 49, 98, 743, 1486, 5201, 10402, 36407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72806 and 72814. The biggest common factor number is the GCF number.
So the greatest common factor 72806 and 72814 is 2.

Also check out the Least Common Multiple of 72806 and 72814