What is the Greatest Common Factor of 80002 and 80019?

Greatest common factor (GCF) of 80002 and 80019 is 17.

GCF(80002,80019) = 17

We will now calculate the prime factors of 80002 and 80019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80002 and 80019.

How to find the GCF of 80002 and 80019?

We will first find the prime factorization of 80002 and 80019. After we will calculate the factors of 80002 and 80019 and find the biggest common factor number .

Step-1: Prime Factorization of 80002

Prime factors of 80002 are 2, 13, 17, 181. Prime factorization of 80002 in exponential form is:

80002 = 2¹ × 13¹ × 17¹ × 181¹

Step-2: Prime Factorization of 80019

Prime factors of 80019 are 3, 17, 523. Prime factorization of 80019 in exponential form is:

80019 = 3² × 17¹ × 523¹

Step-3: Factors of 80002

List of positive integer factors of 80002 that divides 80002 without a remainder.

1, 2, 13, 17, 26, 34, 181, 221, 362, 442, 2353, 3077, 4706, 6154, 40001

Step-4: Factors of 80019

List of positive integer factors of 80019 that divides 80002 without a remainder.

1, 3, 9, 17, 51, 153, 523, 1569, 4707, 8891, 26673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80002 and 80019. The biggest common factor number is the GCF number.
So the greatest common factor 80002 and 80019 is 17.

Also check out the Least Common Multiple of 80002 and 80019