What is the Greatest Common Factor of 80090 and 80095?

Greatest common factor (GCF) of 80090 and 80095 is 5.

GCF(80090,80095) = 5

We will now calculate the prime factors of 80090 and 80095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80090 and 80095.

How to find the GCF of 80090 and 80095?

We will first find the prime factorization of 80090 and 80095. After we will calculate the factors of 80090 and 80095 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80095

Prime factors of 80095 are 5, 83, 193. Prime factorization of 80095 in exponential form is:

80095 = 5¹ × 83¹ × 193¹

Step-3: Factors of 80090

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

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

Step-4: Factors of 80095

List of positive integer factors of 80095 that divides 80090 without a remainder.

1, 5, 83, 193, 415, 965, 16019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80090 and 80095. The biggest common factor number is the GCF number.
So the greatest common factor 80090 and 80095 is 5.

Also check out the Least Common Multiple of 80090 and 80095