What is the Greatest Common Factor of 26005 and 26010?

Greatest common factor (GCF) of 26005 and 26010 is 5.

GCF(26005,26010) = 5

We will now calculate the prime factors of 26005 and 26010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26005 and 26010.

How to find the GCF of 26005 and 26010?

We will first find the prime factorization of 26005 and 26010. After we will calculate the factors of 26005 and 26010 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 26010

Prime factors of 26010 are 2, 3, 5, 17. Prime factorization of 26010 in exponential form is:

26010 = 2¹ × 3² × 5¹ × 17²

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 26010

List of positive integer factors of 26010 that divides 26005 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 85, 90, 102, 153, 170, 255, 289, 306, 510, 578, 765, 867, 1445, 1530, 1734, 2601, 2890, 4335, 5202, 8670, 13005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26005 and 26010. The biggest common factor number is the GCF number.
So the greatest common factor 26005 and 26010 is 5.

Also check out the Least Common Multiple of 26005 and 26010