What is the Greatest Common Factor of 72788 and 72806?

Greatest common factor (GCF) of 72788 and 72806 is 2.

GCF(72788,72806) = 2

We will now calculate the prime factors of 72788 and 72806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72788 and 72806.

How to find the GCF of 72788 and 72806?

We will first find the prime factorization of 72788 and 72806. After we will calculate the factors of 72788 and 72806 and find the biggest common factor number .

Step-1: Prime Factorization of 72788

Prime factors of 72788 are 2, 31, 587. Prime factorization of 72788 in exponential form is:

72788 = 2² × 31¹ × 587¹

Step-2: 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-3: Factors of 72788

List of positive integer factors of 72788 that divides 72788 without a remainder.

1, 2, 4, 31, 62, 124, 587, 1174, 2348, 18197, 36394

Step-4: Factors of 72806

List of positive integer factors of 72806 that divides 72788 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72788 and 72806. The biggest common factor number is the GCF number.
So the greatest common factor 72788 and 72806 is 2.

Also check out the Least Common Multiple of 72788 and 72806