What is the Greatest Common Factor of 26010 and 26020?

Greatest common factor (GCF) of 26010 and 26020 is 10.

GCF(26010,26020) = 10

We will now calculate the prime factors of 26010 and 26020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26010 and 26020.

How to find the GCF of 26010 and 26020?

We will first find the prime factorization of 26010 and 26020. After we will calculate the factors of 26010 and 26020 and find the biggest common factor number .

Step-1: 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-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 26010

List of positive integer factors of 26010 that divides 26010 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

Step-4: Factors of 26020

List of positive integer factors of 26020 that divides 26010 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 26010 and 26020. The biggest common factor number is the GCF number.
So the greatest common factor 26010 and 26020 is 10.

Also check out the Least Common Multiple of 26010 and 26020