What is the Greatest Common Factor of 72849 and 72856?

Greatest common factor (GCF) of 72849 and 72856 is 7.

GCF(72849,72856) = 7

We will now calculate the prime factors of 72849 and 72856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72849 and 72856.

How to find the GCF of 72849 and 72856?

We will first find the prime factorization of 72849 and 72856. After we will calculate the factors of 72849 and 72856 and find the biggest common factor number .

Step-1: Prime Factorization of 72849

Prime factors of 72849 are 3, 7, 3469. Prime factorization of 72849 in exponential form is:

72849 = 3¹ × 7¹ × 3469¹

Step-2: 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-3: Factors of 72849

List of positive integer factors of 72849 that divides 72849 without a remainder.

1, 3, 7, 21, 3469, 10407, 24283

Step-4: Factors of 72856

List of positive integer factors of 72856 that divides 72849 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72849 and 72856. The biggest common factor number is the GCF number.
So the greatest common factor 72849 and 72856 is 7.

Also check out the Least Common Multiple of 72849 and 72856