What is the Greatest Common Factor of 80008 and 80017?

Greatest common factor (GCF) of 80008 and 80017 is 1.

GCF(80008,80017) = 1

We will now calculate the prime factors of 80008 and 80017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80008 and 80017.

How to find the GCF of 80008 and 80017?

We will first find the prime factorization of 80008 and 80017. After we will calculate the factors of 80008 and 80017 and find the biggest common factor number .

Step-1: Prime Factorization of 80008

Prime factors of 80008 are 2, 73, 137. Prime factorization of 80008 in exponential form is:

80008 = 2³ × 73¹ × 137¹

Step-2: Prime Factorization of 80017

Prime factors of 80017 are 7, 23, 71. Prime factorization of 80017 in exponential form is:

80017 = 7² × 23¹ × 71¹

Step-3: Factors of 80008

List of positive integer factors of 80008 that divides 80008 without a remainder.

1, 2, 4, 8, 73, 137, 146, 274, 292, 548, 584, 1096, 10001, 20002, 40004

Step-4: Factors of 80017

List of positive integer factors of 80017 that divides 80008 without a remainder.

1, 7, 23, 49, 71, 161, 497, 1127, 1633, 3479, 11431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80008 and 80017. The biggest common factor number is the GCF number.
So the greatest common factor 80008 and 80017 is 1.

Also check out the Least Common Multiple of 80008 and 80017