What is the Greatest Common Factor of 72874 and 72880?

Greatest common factor (GCF) of 72874 and 72880 is 2.

GCF(72874,72880) = 2

We will now calculate the prime factors of 72874 and 72880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72874 and 72880.

How to find the GCF of 72874 and 72880?

We will first find the prime factorization of 72874 and 72880. After we will calculate the factors of 72874 and 72880 and find the biggest common factor number .

Step-1: Prime Factorization of 72874

Prime factors of 72874 are 2, 83, 439. Prime factorization of 72874 in exponential form is:

72874 = 2¹ × 83¹ × 439¹

Step-2: Prime Factorization of 72880

Prime factors of 72880 are 2, 5, 911. Prime factorization of 72880 in exponential form is:

72880 = 2⁴ × 5¹ × 911¹

Step-3: Factors of 72874

List of positive integer factors of 72874 that divides 72874 without a remainder.

1, 2, 83, 166, 439, 878, 36437

Step-4: Factors of 72880

List of positive integer factors of 72880 that divides 72874 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 911, 1822, 3644, 4555, 7288, 9110, 14576, 18220, 36440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72874 and 72880. The biggest common factor number is the GCF number.
So the greatest common factor 72874 and 72880 is 2.

Also check out the Least Common Multiple of 72874 and 72880