What is the Greatest Common Factor of 80019 and 80034?

Greatest common factor (GCF) of 80019 and 80034 is 3.

GCF(80019,80034) = 3

We will now calculate the prime factors of 80019 and 80034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80019 and 80034.

How to find the GCF of 80019 and 80034?

We will first find the prime factorization of 80019 and 80034. After we will calculate the factors of 80019 and 80034 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80034

Prime factors of 80034 are 2, 3, 13339. Prime factorization of 80034 in exponential form is:

80034 = 2¹ × 3¹ × 13339¹

Step-3: Factors of 80019

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

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

Step-4: Factors of 80034

List of positive integer factors of 80034 that divides 80019 without a remainder.

1, 2, 3, 6, 13339, 26678, 40017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80019 and 80034. The biggest common factor number is the GCF number.
So the greatest common factor 80019 and 80034 is 3.

Also check out the Least Common Multiple of 80019 and 80034