What is the Greatest Common Factor of 26000 and 26018?

Greatest common factor (GCF) of 26000 and 26018 is 2.

GCF(26000,26018) = 2

We will now calculate the prime factors of 26000 and 26018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26000 and 26018.

How to find the GCF of 26000 and 26018?

We will first find the prime factorization of 26000 and 26018. After we will calculate the factors of 26000 and 26018 and find the biggest common factor number .

Step-1: Prime Factorization of 26000

Prime factors of 26000 are 2, 5, 13. Prime factorization of 26000 in exponential form is:

26000 = 2⁴ × 5³ × 13¹

Step-2: Prime Factorization of 26018

Prime factors of 26018 are 2, 13009. Prime factorization of 26018 in exponential form is:

26018 = 2¹ × 13009¹

Step-3: Factors of 26000

List of positive integer factors of 26000 that divides 26000 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80, 100, 104, 125, 130, 200, 208, 250, 260, 325, 400, 500, 520, 650, 1000, 1040, 1300, 1625, 2000, 2600, 3250, 5200, 6500, 13000

Step-4: Factors of 26018

List of positive integer factors of 26018 that divides 26000 without a remainder.

1, 2, 13009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26000 and 26018. The biggest common factor number is the GCF number.
So the greatest common factor 26000 and 26018 is 2.

Also check out the Least Common Multiple of 26000 and 26018