What is the Greatest Common Factor of 26000 and 26008?

Greatest common factor (GCF) of 26000 and 26008 is 8.

GCF(26000,26008) = 8

We will now calculate the prime factors of 26000 and 26008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26000 and 26008.

How to find the GCF of 26000 and 26008?

We will first find the prime factorization of 26000 and 26008. After we will calculate the factors of 26000 and 26008 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 26008

Prime factors of 26008 are 2, 3251. Prime factorization of 26008 in exponential form is:

26008 = 2³ × 3251¹

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 26008

List of positive integer factors of 26008 that divides 26000 without a remainder.

1, 2, 4, 8, 3251, 6502, 13004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26000 and 26008. The biggest common factor number is the GCF number.
So the greatest common factor 26000 and 26008 is 8.

Also check out the Least Common Multiple of 26000 and 26008