What is the Greatest Common Factor of 72880 and 72890?

Greatest common factor (GCF) of 72880 and 72890 is 10.

GCF(72880,72890) = 10

We will now calculate the prime factors of 72880 and 72890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72880 and 72890.

How to find the GCF of 72880 and 72890?

We will first find the prime factorization of 72880 and 72890. After we will calculate the factors of 72880 and 72890 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72890

Prime factors of 72890 are 2, 5, 37, 197. Prime factorization of 72890 in exponential form is:

72890 = 2¹ × 5¹ × 37¹ × 197¹

Step-3: Factors of 72880

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

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

Step-4: Factors of 72890

List of positive integer factors of 72890 that divides 72880 without a remainder.

1, 2, 5, 10, 37, 74, 185, 197, 370, 394, 985, 1970, 7289, 14578, 36445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72880 and 72890. The biggest common factor number is the GCF number.
So the greatest common factor 72880 and 72890 is 10.

Also check out the Least Common Multiple of 72880 and 72890