What is the Greatest Common Factor of 83019 and 83034?

Greatest common factor (GCF) of 83019 and 83034 is 3.

GCF(83019,83034) = 3

We will now calculate the prime factors of 83019 and 83034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83019 and 83034.

How to find the GCF of 83019 and 83034?

We will first find the prime factorization of 83019 and 83034. After we will calculate the factors of 83019 and 83034 and find the biggest common factor number .

Step-1: Prime Factorization of 83019

Prime factors of 83019 are 3, 27673. Prime factorization of 83019 in exponential form is:

83019 = 3¹ × 27673¹

Step-2: Prime Factorization of 83034

Prime factors of 83034 are 2, 3, 7, 659. Prime factorization of 83034 in exponential form is:

83034 = 2¹ × 3² × 7¹ × 659¹

Step-3: Factors of 83019

List of positive integer factors of 83019 that divides 83019 without a remainder.

1, 3, 27673

Step-4: Factors of 83034

List of positive integer factors of 83034 that divides 83019 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 659, 1318, 1977, 3954, 4613, 5931, 9226, 11862, 13839, 27678, 41517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83019 and 83034. The biggest common factor number is the GCF number.
So the greatest common factor 83019 and 83034 is 3.

Also check out the Least Common Multiple of 83019 and 83034