What is the Greatest Common Factor of 82015 and 82026?

Greatest common factor (GCF) of 82015 and 82026 is 1.

GCF(82015,82026) = 1

We will now calculate the prime factors of 82015 and 82026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82015 and 82026.

How to find the GCF of 82015 and 82026?

We will first find the prime factorization of 82015 and 82026. After we will calculate the factors of 82015 and 82026 and find the biggest common factor number .

Step-1: Prime Factorization of 82015

Prime factors of 82015 are 5, 47, 349. Prime factorization of 82015 in exponential form is:

82015 = 5¹ × 47¹ × 349¹

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 82015

List of positive integer factors of 82015 that divides 82015 without a remainder.

1, 5, 47, 235, 349, 1745, 16403

Step-4: Factors of 82026

List of positive integer factors of 82026 that divides 82015 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 82015 and 82026. The biggest common factor number is the GCF number.
So the greatest common factor 82015 and 82026 is 1.

Also check out the Least Common Multiple of 82015 and 82026