What is the Greatest Common Factor of 72856 and 72866?

Greatest common factor (GCF) of 72856 and 72866 is 2.

GCF(72856,72866) = 2

We will now calculate the prime factors of 72856 and 72866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72856 and 72866.

How to find the GCF of 72856 and 72866?

We will first find the prime factorization of 72856 and 72866. After we will calculate the factors of 72856 and 72866 and find the biggest common factor number .

Step-1: Prime Factorization of 72856

Prime factors of 72856 are 2, 7, 1301. Prime factorization of 72856 in exponential form is:

72856 = 2³ × 7¹ × 1301¹

Step-2: Prime Factorization of 72866

Prime factors of 72866 are 2, 36433. Prime factorization of 72866 in exponential form is:

72866 = 2¹ × 36433¹

Step-3: Factors of 72856

List of positive integer factors of 72856 that divides 72856 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1301, 2602, 5204, 9107, 10408, 18214, 36428

Step-4: Factors of 72866

List of positive integer factors of 72866 that divides 72856 without a remainder.

1, 2, 36433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72856 and 72866. The biggest common factor number is the GCF number.
So the greatest common factor 72856 and 72866 is 2.

Also check out the Least Common Multiple of 72856 and 72866