What is the Greatest Common Factor of 26000 and 26006?

Greatest common factor (GCF) of 26000 and 26006 is 2.

GCF(26000,26006) = 2

We will now calculate the prime factors of 26000 and 26006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26000 and 26006.

How to find the GCF of 26000 and 26006?

We will first find the prime factorization of 26000 and 26006. After we will calculate the factors of 26000 and 26006 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 26006

Prime factors of 26006 are 2, 13003. Prime factorization of 26006 in exponential form is:

26006 = 2¹ × 13003¹

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 26006

List of positive integer factors of 26006 that divides 26000 without a remainder.

1, 2, 13003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26000 and 26006. The biggest common factor number is the GCF number.
So the greatest common factor 26000 and 26006 is 2.

Also check out the Least Common Multiple of 26000 and 26006