What is the Greatest Common Factor of 26835 and 26850?

Greatest common factor (GCF) of 26835 and 26850 is 15.

GCF(26835,26850) = 15

We will now calculate the prime factors of 26835 and 26850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26835 and 26850.

How to find the GCF of 26835 and 26850?

We will first find the prime factorization of 26835 and 26850. After we will calculate the factors of 26835 and 26850 and find the biggest common factor number .

Step-1: Prime Factorization of 26835

Prime factors of 26835 are 3, 5, 1789. Prime factorization of 26835 in exponential form is:

26835 = 3¹ × 5¹ × 1789¹

Step-2: Prime Factorization of 26850

Prime factors of 26850 are 2, 3, 5, 179. Prime factorization of 26850 in exponential form is:

26850 = 2¹ × 3¹ × 5² × 179¹

Step-3: Factors of 26835

List of positive integer factors of 26835 that divides 26835 without a remainder.

1, 3, 5, 15, 1789, 5367, 8945

Step-4: Factors of 26850

List of positive integer factors of 26850 that divides 26835 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 179, 358, 537, 895, 1074, 1790, 2685, 4475, 5370, 8950, 13425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26835 and 26850. The biggest common factor number is the GCF number.
So the greatest common factor 26835 and 26850 is 15.

Also check out the Least Common Multiple of 26835 and 26850