What is the Greatest Common Factor of 80009 and 80026?

Greatest common factor (GCF) of 80009 and 80026 is 1.

GCF(80009,80026) = 1

We will now calculate the prime factors of 80009 and 80026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80009 and 80026.

How to find the GCF of 80009 and 80026?

We will first find the prime factorization of 80009 and 80026. After we will calculate the factors of 80009 and 80026 and find the biggest common factor number .

Step-1: Prime Factorization of 80009

Prime factors of 80009 are 19, 4211. Prime factorization of 80009 in exponential form is:

80009 = 19¹ × 4211¹

Step-2: Prime Factorization of 80026

Prime factors of 80026 are 2, 40013. Prime factorization of 80026 in exponential form is:

80026 = 2¹ × 40013¹

Step-3: Factors of 80009

List of positive integer factors of 80009 that divides 80009 without a remainder.

1, 19, 4211

Step-4: Factors of 80026

List of positive integer factors of 80026 that divides 80009 without a remainder.

1, 2, 40013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80009 and 80026. The biggest common factor number is the GCF number.
So the greatest common factor 80009 and 80026 is 1.

Also check out the Least Common Multiple of 80009 and 80026