What is the Greatest Common Factor of 8780 and 8790?

Greatest common factor (GCF) of 8780 and 8790 is 10.

GCF(8780,8790) = 10

We will now calculate the prime factors of 8780 and 8790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8780 and 8790.

How to find the GCF of 8780 and 8790?

We will first find the prime factorization of 8780 and 8790. After we will calculate the factors of 8780 and 8790 and find the biggest common factor number .

Step-1: Prime Factorization of 8780

Prime factors of 8780 are 2, 5, 439. Prime factorization of 8780 in exponential form is:

8780 = 2² × 5¹ × 439¹

Step-2: Prime Factorization of 8790

Prime factors of 8790 are 2, 3, 5, 293. Prime factorization of 8790 in exponential form is:

8790 = 2¹ × 3¹ × 5¹ × 293¹

Step-3: Factors of 8780

List of positive integer factors of 8780 that divides 8780 without a remainder.

1, 2, 4, 5, 10, 20, 439, 878, 1756, 2195, 4390

Step-4: Factors of 8790

List of positive integer factors of 8790 that divides 8780 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 293, 586, 879, 1465, 1758, 2930, 4395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8780 and 8790. The biggest common factor number is the GCF number.
So the greatest common factor 8780 and 8790 is 10.

Also check out the Least Common Multiple of 8780 and 8790