What is the Greatest Common Factor of 72868 and 72880?

Greatest common factor (GCF) of 72868 and 72880 is 4.

GCF(72868,72880) = 4

We will now calculate the prime factors of 72868 and 72880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72868 and 72880.

How to find the GCF of 72868 and 72880?

We will first find the prime factorization of 72868 and 72880. After we will calculate the factors of 72868 and 72880 and find the biggest common factor number .

Step-1: Prime Factorization of 72868

Prime factors of 72868 are 2, 18217. Prime factorization of 72868 in exponential form is:

72868 = 2² × 18217¹

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 72868

List of positive integer factors of 72868 that divides 72868 without a remainder.

1, 2, 4, 18217, 36434

Step-4: Factors of 72880

List of positive integer factors of 72880 that divides 72868 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 72868 and 72880. The biggest common factor number is the GCF number.
So the greatest common factor 72868 and 72880 is 4.

Also check out the Least Common Multiple of 72868 and 72880