What is the Greatest Common Factor of 26000 and 26020?

Greatest common factor (GCF) of 26000 and 26020 is 20.

GCF(26000,26020) = 20

We will now calculate the prime factors of 26000 and 26020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26000 and 26020.

How to find the GCF of 26000 and 26020?

We will first find the prime factorization of 26000 and 26020. After we will calculate the factors of 26000 and 26020 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 26020

Prime factors of 26020 are 2, 5, 1301. Prime factorization of 26020 in exponential form is:

26020 = 2² × 5¹ × 1301¹

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 26020

List of positive integer factors of 26020 that divides 26000 without a remainder.

1, 2, 4, 5, 10, 20, 1301, 2602, 5204, 6505, 13010

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26000 and 26020. The biggest common factor number is the GCF number.
So the greatest common factor 26000 and 26020 is 20.

Also check out the Least Common Multiple of 26000 and 26020