What is the Greatest Common Factor of 80002 and 80016?

Greatest common factor (GCF) of 80002 and 80016 is 2.

GCF(80002,80016) = 2

We will now calculate the prime factors of 80002 and 80016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80002 and 80016.

How to find the GCF of 80002 and 80016?

We will first find the prime factorization of 80002 and 80016. After we will calculate the factors of 80002 and 80016 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 80016

Prime factors of 80016 are 2, 3, 1667. Prime factorization of 80016 in exponential form is:

80016 = 2⁴ × 3¹ × 1667¹

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 80016

List of positive integer factors of 80016 that divides 80002 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1667, 3334, 5001, 6668, 10002, 13336, 20004, 26672, 40008

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80002 and 80016. The biggest common factor number is the GCF number.
So the greatest common factor 80002 and 80016 is 2.

Also check out the Least Common Multiple of 80002 and 80016