What is the Greatest Common Factor of 26820 and 26835?

Greatest common factor (GCF) of 26820 and 26835 is 15.

GCF(26820,26835) = 15

We will now calculate the prime factors of 26820 and 26835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26820 and 26835.

How to find the GCF of 26820 and 26835?

We will first find the prime factorization of 26820 and 26835. After we will calculate the factors of 26820 and 26835 and find the biggest common factor number .

Step-1: Prime Factorization of 26820

Prime factors of 26820 are 2, 3, 5, 149. Prime factorization of 26820 in exponential form is:

26820 = 2² × 3² × 5¹ × 149¹

Step-2: 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-3: Factors of 26820

List of positive integer factors of 26820 that divides 26820 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 149, 180, 298, 447, 596, 745, 894, 1341, 1490, 1788, 2235, 2682, 2980, 4470, 5364, 6705, 8940, 13410

Step-4: Factors of 26835

List of positive integer factors of 26835 that divides 26820 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26820 and 26835. The biggest common factor number is the GCF number.
So the greatest common factor 26820 and 26835 is 15.

Also check out the Least Common Multiple of 26820 and 26835