What is the Greatest Common Factor of 8080 and 8090?

Greatest common factor (GCF) of 8080 and 8090 is 10.

GCF(8080,8090) = 10

We will now calculate the prime factors of 8080 and 8090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8080 and 8090.

How to find the GCF of 8080 and 8090?

We will first find the prime factorization of 8080 and 8090. After we will calculate the factors of 8080 and 8090 and find the biggest common factor number .

Step-1: Prime Factorization of 8080

Prime factors of 8080 are 2, 5, 101. Prime factorization of 8080 in exponential form is:

8080 = 2⁴ × 5¹ × 101¹

Step-2: Prime Factorization of 8090

Prime factors of 8090 are 2, 5, 809. Prime factorization of 8090 in exponential form is:

8090 = 2¹ × 5¹ × 809¹

Step-3: Factors of 8080

List of positive integer factors of 8080 that divides 8080 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 101, 202, 404, 505, 808, 1010, 1616, 2020, 4040

Step-4: Factors of 8090

List of positive integer factors of 8090 that divides 8080 without a remainder.

1, 2, 5, 10, 809, 1618, 4045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8080 and 8090. The biggest common factor number is the GCF number.
So the greatest common factor 8080 and 8090 is 10.

Also check out the Least Common Multiple of 8080 and 8090