What is the Greatest Common Factor of 72856 and 72870?

Greatest common factor (GCF) of 72856 and 72870 is 14.

GCF(72856,72870) = 14

We will now calculate the prime factors of 72856 and 72870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72856 and 72870.

How to find the GCF of 72856 and 72870?

We will first find the prime factorization of 72856 and 72870. After we will calculate the factors of 72856 and 72870 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 72870

Prime factors of 72870 are 2, 3, 5, 7, 347. Prime factorization of 72870 in exponential form is:

72870 = 2¹ × 3¹ × 5¹ × 7¹ × 347¹

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 72870

List of positive integer factors of 72870 that divides 72856 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 347, 694, 1041, 1735, 2082, 2429, 3470, 4858, 5205, 7287, 10410, 12145, 14574, 24290, 36435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72856 and 72870. The biggest common factor number is the GCF number.
So the greatest common factor 72856 and 72870 is 14.

Also check out the Least Common Multiple of 72856 and 72870