What is the Greatest Common Factor of 80075 and 80090?

Greatest common factor (GCF) of 80075 and 80090 is 5.

GCF(80075,80090) = 5

We will now calculate the prime factors of 80075 and 80090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80075 and 80090.

How to find the GCF of 80075 and 80090?

We will first find the prime factorization of 80075 and 80090. After we will calculate the factors of 80075 and 80090 and find the biggest common factor number .

Step-1: Prime Factorization of 80075

Prime factors of 80075 are 5, 3203. Prime factorization of 80075 in exponential form is:

80075 = 5² × 3203¹

Step-2: Prime Factorization of 80090

Prime factors of 80090 are 2, 5, 8009. Prime factorization of 80090 in exponential form is:

80090 = 2¹ × 5¹ × 8009¹

Step-3: Factors of 80075

List of positive integer factors of 80075 that divides 80075 without a remainder.

1, 5, 25, 3203, 16015

Step-4: Factors of 80090

List of positive integer factors of 80090 that divides 80075 without a remainder.

1, 2, 5, 10, 8009, 16018, 40045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80075 and 80090. The biggest common factor number is the GCF number.
So the greatest common factor 80075 and 80090 is 5.

Also check out the Least Common Multiple of 80075 and 80090