What is the Greatest Common Factor of 82019 and 82026?

Greatest common factor (GCF) of 82019 and 82026 is 7.

GCF(82019,82026) = 7

We will now calculate the prime factors of 82019 and 82026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82019 and 82026.

How to find the GCF of 82019 and 82026?

We will first find the prime factorization of 82019 and 82026. After we will calculate the factors of 82019 and 82026 and find the biggest common factor number .

Step-1: Prime Factorization of 82019

Prime factors of 82019 are 7, 11717. Prime factorization of 82019 in exponential form is:

82019 = 7¹ × 11717¹

Step-2: Prime Factorization of 82026

Prime factors of 82026 are 2, 3, 7, 31. Prime factorization of 82026 in exponential form is:

82026 = 2¹ × 3³ × 7² × 31¹

Step-3: Factors of 82019

List of positive integer factors of 82019 that divides 82019 without a remainder.

1, 7, 11717

Step-4: Factors of 82026

List of positive integer factors of 82026 that divides 82019 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 31, 42, 49, 54, 62, 63, 93, 98, 126, 147, 186, 189, 217, 279, 294, 378, 434, 441, 558, 651, 837, 882, 1302, 1323, 1519, 1674, 1953, 2646, 3038, 3906, 4557, 5859, 9114, 11718, 13671, 27342, 41013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82019 and 82026. The biggest common factor number is the GCF number.
So the greatest common factor 82019 and 82026 is 7.

Also check out the Least Common Multiple of 82019 and 82026