What is the Greatest Common Factor of 26814 and 26820?

Greatest common factor (GCF) of 26814 and 26820 is 6.

GCF(26814,26820) = 6

We will now calculate the prime factors of 26814 and 26820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26814 and 26820.

How to find the GCF of 26814 and 26820?

We will first find the prime factorization of 26814 and 26820. After we will calculate the factors of 26814 and 26820 and find the biggest common factor number .

Step-1: Prime Factorization of 26814

Prime factors of 26814 are 2, 3, 41, 109. Prime factorization of 26814 in exponential form is:

26814 = 2¹ × 3¹ × 41¹ × 109¹

Step-2: 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-3: Factors of 26814

List of positive integer factors of 26814 that divides 26814 without a remainder.

1, 2, 3, 6, 41, 82, 109, 123, 218, 246, 327, 654, 4469, 8938, 13407

Step-4: Factors of 26820

List of positive integer factors of 26820 that divides 26814 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26814 and 26820. The biggest common factor number is the GCF number.
So the greatest common factor 26814 and 26820 is 6.

Also check out the Least Common Multiple of 26814 and 26820