What is the Greatest Common Factor of 26005 and 26019?

Greatest common factor (GCF) of 26005 and 26019 is 7.

GCF(26005,26019) = 7

We will now calculate the prime factors of 26005 and 26019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26005 and 26019.

How to find the GCF of 26005 and 26019?

We will first find the prime factorization of 26005 and 26019. After we will calculate the factors of 26005 and 26019 and find the biggest common factor number .

Step-1: Prime Factorization of 26005

Prime factors of 26005 are 5, 7, 743. Prime factorization of 26005 in exponential form is:

26005 = 5¹ × 7¹ × 743¹

Step-2: Prime Factorization of 26019

Prime factors of 26019 are 3, 7, 59. Prime factorization of 26019 in exponential form is:

26019 = 3² × 7² × 59¹

Step-3: Factors of 26005

List of positive integer factors of 26005 that divides 26005 without a remainder.

1, 5, 7, 35, 743, 3715, 5201

Step-4: Factors of 26019

List of positive integer factors of 26019 that divides 26005 without a remainder.

1, 3, 7, 9, 21, 49, 59, 63, 147, 177, 413, 441, 531, 1239, 2891, 3717, 8673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26005 and 26019. The biggest common factor number is the GCF number.
So the greatest common factor 26005 and 26019 is 7.

Also check out the Least Common Multiple of 26005 and 26019