What is the Greatest Common Factor of 26300 and 26310?

Greatest common factor (GCF) of 26300 and 26310 is 10.

GCF(26300,26310) = 10

We will now calculate the prime factors of 26300 and 26310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26300 and 26310.

How to find the GCF of 26300 and 26310?

We will first find the prime factorization of 26300 and 26310. After we will calculate the factors of 26300 and 26310 and find the biggest common factor number .

Step-1: Prime Factorization of 26300

Prime factors of 26300 are 2, 5, 263. Prime factorization of 26300 in exponential form is:

26300 = 2² × 5² × 263¹

Step-2: Prime Factorization of 26310

Prime factors of 26310 are 2, 3, 5, 877. Prime factorization of 26310 in exponential form is:

26310 = 2¹ × 3¹ × 5¹ × 877¹

Step-3: Factors of 26300

List of positive integer factors of 26300 that divides 26300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 263, 526, 1052, 1315, 2630, 5260, 6575, 13150

Step-4: Factors of 26310

List of positive integer factors of 26310 that divides 26300 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 877, 1754, 2631, 4385, 5262, 8770, 13155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26300 and 26310. The biggest common factor number is the GCF number.
So the greatest common factor 26300 and 26310 is 10.

Also check out the Least Common Multiple of 26300 and 26310