What is the Greatest Common Factor of 82004 and 82023?

Greatest common factor (GCF) of 82004 and 82023 is 19.

GCF(82004,82023) = 19

We will now calculate the prime factors of 82004 and 82023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82004 and 82023.

How to find the GCF of 82004 and 82023?

We will first find the prime factorization of 82004 and 82023. After we will calculate the factors of 82004 and 82023 and find the biggest common factor number .

Step-1: Prime Factorization of 82004

Prime factors of 82004 are 2, 13, 19, 83. Prime factorization of 82004 in exponential form is:

82004 = 2² × 13¹ × 19¹ × 83¹

Step-2: Prime Factorization of 82023

Prime factors of 82023 are 3, 19, 1439. Prime factorization of 82023 in exponential form is:

82023 = 3¹ × 19¹ × 1439¹

Step-3: Factors of 82004

List of positive integer factors of 82004 that divides 82004 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 83, 166, 247, 332, 494, 988, 1079, 1577, 2158, 3154, 4316, 6308, 20501, 41002

Step-4: Factors of 82023

List of positive integer factors of 82023 that divides 82004 without a remainder.

1, 3, 19, 57, 1439, 4317, 27341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82004 and 82023. The biggest common factor number is the GCF number.
So the greatest common factor 82004 and 82023 is 19.

Also check out the Least Common Multiple of 82004 and 82023