What is the Greatest Common Factor of 82026 and 82034?

Greatest common factor (GCF) of 82026 and 82034 is 2.

GCF(82026,82034) = 2

We will now calculate the prime factors of 82026 and 82034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82026 and 82034.

How to find the GCF of 82026 and 82034?

We will first find the prime factorization of 82026 and 82034. After we will calculate the factors of 82026 and 82034 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82034

Prime factors of 82034 are 2, 41017. Prime factorization of 82034 in exponential form is:

82034 = 2¹ × 41017¹

Step-3: Factors of 82026

List of positive integer factors of 82026 that divides 82026 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

Step-4: Factors of 82034

List of positive integer factors of 82034 that divides 82026 without a remainder.

1, 2, 41017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82026 and 82034. The biggest common factor number is the GCF number.
So the greatest common factor 82026 and 82034 is 2.

Also check out the Least Common Multiple of 82026 and 82034